755664681600 has 1152 divisors, whose sum is σ = 2890080648000. Its totient is φ = 194885222400.

The previous prime is 755664681589. The next prime is 755664681641. The reversal of 755664681600 is 6186466557.

755664681600 is a `hidden beast` number, since 7 + 5 + 566 + 4 + 68 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×755664681600² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4221590311 + ... + 4221590489.

Almost surely, 2^755664681600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755664681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445040324000).

755664681600 is an abundant number, since it is smaller than the sum of its proper divisors (2134415966400).

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

755664681600 is a wasteful number, since it uses less digits than its factorization.

755664681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 755664681600 in words is "seven hundred fifty-five billion, six hundred sixty-four million, six hundred eighty-one thousand, six hundred".