76574003028480 has 400 divisors, whose sum is σ = 274374125967744. Its totient is φ = 20411526389760.

The previous prime is 76574003028473. The next prime is 76574003028493. The reversal of 76574003028480 is 8482030047567.

76574003028480 is a `hidden beast` number, since 7 + 6 + 57 + 400 + 30 + 2 + 84 + 80 = 666.

It is a super-2 number, since 2×76574003028480² (a number of 29 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 524755209 + ... + 524901111.

Almost surely, 2^{76574003028480} 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 76574003028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137187062983872).

76574003028480 is an abundant number, since it is smaller than the sum of its proper divisors (197800122939264).

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

76574003028480 is a wasteful number, since it uses less digits than its factorization.

76574003028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148469 (or 148444 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 76574003028480 in words is "seventy-six trillion, five hundred seventy-four billion, three million, twenty-eight thousand, four hundred eighty".