76975945014528 has 576 divisors, whose sum is σ = 262364569600000. Its totient is φ = 21806145478656.

The previous prime is 76975945014509. The next prime is 76975945014559. The reversal of 76975945014528 is 82541054957967.

76975945014528 is a `hidden beast` number, since 7 + 6 + 9 + 7 + 5 + 9 + 450 + 145 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×76975945014528² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13389446598 + ... + 13389452346.

Almost surely, 2^{76975945014528} 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 76975945014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131182284800000).

76975945014528 is an abundant number, since it is smaller than the sum of its proper divisors (185388624585472).

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

76975945014528 is a wasteful number, since it uses less digits than its factorization.

76975945014528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8067 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 76975945014528 in words is "seventy-six trillion, nine hundred seventy-five billion, nine hundred forty-five million, fourteen thousand, five hundred twenty-eight".