76388220754560 has 3456 divisors, whose sum is σ = 333826629514560. Its totient is φ = 16545695662080.

The previous prime is 76388220754541. The next prime is 76388220754609. The reversal of 76388220754560 is 6545702288367.

76388220754560 is a `hidden beast` number, since 7 + 6 + 3 + 8 + 8 + 2 + 20 + 7 + 545 + 60 = 666.

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

It is a super-2 number, since 2×76388220754560² (a number of 29 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 395793889824 + ... + 395793890016.

Almost surely, 2^{76388220754560} 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 76388220754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166913314757280).

76388220754560 is an abundant number, since it is smaller than the sum of its proper divisors (257438408760000).

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

76388220754560 is a wasteful number, since it uses less digits than its factorization.

76388220754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 76388220754560 in words is "seventy-six trillion, three hundred eighty-eight billion, two hundred twenty million, seven hundred fifty-four thousand, five hundred sixty".