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630772496640 = 283351121341283
BaseRepresentation
bin10010010110111001111…
…10000111100100000000
32020022010121201212001000
421023130332013210000
540313310224343030
61201434535412000
763400062520446
oct11133476074400
92208117655030
10630772496640
112235666a2800
12a22b8524000
13476350959c0
142275b138b96
151161b6d9860
hex92dcf87900

630772496640 has 1728 divisors, whose sum is σ = 2723826551040. Its totient is φ = 137222553600.

The previous prime is 630772496639. The next prime is 630772496677. The reversal of 630772496640 is 46694277036.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×6307724966402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2228877939 + ... + 2228878221.

Almost surely, 2630772496640 is an apocalyptic number.

630772496640 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 630772496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361913275520).

630772496640 is an abundant number, since it is smaller than the sum of its proper divisors (2093054054400).

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

630772496640 is a wasteful number, since it uses less digits than its factorization.

630772496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 630772496640 in words is "six hundred thirty billion, seven hundred seventy-two million, four hundred ninety-six thousand, six hundred forty".