76542971520 has 256 divisors, whose sum is σ = 251064334080. Its totient is φ = 19821035520.

The previous prime is 76542971507. The next prime is 76542971539. The reversal of 76542971520 is 2517924567.

It is a super-2 number, since 2×76542971520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76542971520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62585629 + ... + 62586851.

It is an arithmetic number, because the mean of its divisors is an integer number (980720055).

Almost surely, 2^76542971520 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 76542971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125532167040).

76542971520 is an abundant number, since it is smaller than the sum of its proper divisors (174521362560).

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

76542971520 is a wasteful number, since it uses less digits than its factorization.

76542971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 76542971520 in words is "seventy-six billion, five hundred forty-two million, nine hundred seventy-one thousand, five hundred twenty".