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640401404670720 = 2837571121631657
BaseRepresentation
bin1001000110011100010001001…
…0001111010011001100000000
310002222110202221222112020000000
42101213010102033103030000
51132414314034043430340
610150004202140000000
7251614321542612630
oct22147042217231400
93088422858466000
10640401404670720
1117606278a785300
125b9aa0ba830000
1321644793738114
14b41d8442b66c0
154e0849bc9bd30
hex24671123d3300

640401404670720 has 3456 divisors, whose sum is σ = 2909484155504640. Its totient is φ = 132174223441920.

The previous prime is 640401404670673. The next prime is 640401404670733. The reversal of 640401404670720 is 27076404104046.

It is a happy number.

640401404670720 is a `hidden beast` number, since 6 + 4 + 0 + 40 + 140 + 467 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×6404014046707202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 386482440132 + ... + 386482441788.

Almost surely, 2640401404670720 is an apocalyptic number.

640401404670720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640401404670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454742077752320).

640401404670720 is an abundant number, since it is smaller than the sum of its proper divisors (2269082750833920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640401404670720 is a wasteful number, since it uses less digits than its factorization.

640401404670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

Adding to 640401404670720 its reverse (27076404104046), we get a palindrome (667477808774766).

The spelling of 640401404670720 in words is "six hundred forty trillion, four hundred one billion, four hundred four million, six hundred seventy thousand, seven hundred twenty".