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64765440000 = 2123354937
BaseRepresentation
bin111100010100010100…
…100011000000000000
320012011121121020111000
4330110110203000000
52030114423040000
645430340052000
74451643104532
oct742424430000
9205147536430
1064765440000
1125515447728
1210675994000
136151b21081
1431c5737852
151a40cc5000
hexf14523000

64765440000 has 520 divisors, whose sum is σ = 240021855920. Its totient is φ = 17252352000.

The previous prime is 64765439987. The next prime is 64765440029. The reversal of 64765440000 is 4456746.

64765440000 is a `hidden beast` number, since 647 + 6 + 5 + 4 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119532 + ... + 69120468.

Almost surely, 264765440000 is an apocalyptic number.

64765440000 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 64765440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120010927960).

64765440000 is an abundant number, since it is smaller than the sum of its proper divisors (175256415920).

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

64765440000 is an frugal number, since it uses more digits than its factorization.

64765440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 64765440000 its reverse (4456746), we get a palindrome (64769896746).

The spelling of 64765440000 in words is "sixty-four billion, seven hundred sixty-five million, four hundred forty thousand".