76205568608640 has 768 divisors, whose sum is σ = 277516176537600. Its totient is φ = 19231229952000.

The previous prime is 76205568608633. The next prime is 76205568608651. The reversal of 76205568608640 is 4680686550267.

It is a happy number.

76205568608640 is a `hidden beast` number, since 7 + 6 + 2 + 0 + 5 + 568 + 6 + 0 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×76205568608640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10844676807 + ... + 10844683833.

It is an arithmetic number, because the mean of its divisors is an integer number (361349188200).

Almost surely, 2^{76205568608640} 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 76205568608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138758088268800).

76205568608640 is an abundant number, since it is smaller than the sum of its proper divisors (201310607928960).

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

76205568608640 is a wasteful number, since it uses less digits than its factorization.

76205568608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 76205568608640 in words is "seventy-six trillion, two hundred five billion, five hundred sixty-eight million, six hundred eight thousand, six hundred forty".