76053975984 has 960 divisors, whose sum is σ = 280782028800. Its totient is φ = 18734284800.

The previous prime is 76053975967. The next prime is 76053976001. The reversal of 76053975984 is 48957935067.

76053975984 is a `hidden beast` number, since 7 + 6 + 0 + 5 + 39 + 7 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (76053975967) and next prime (76053976001).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 854539012 + ... + 854539100.

It is an arithmetic number, because the mean of its divisors is an integer number (292481280).

Almost surely, 2^76053975984 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 76053975984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140391014400).

76053975984 is an abundant number, since it is smaller than the sum of its proper divisors (204728052816).

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

76053975984 is a wasteful number, since it uses less digits than its factorization.

76053975984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 76053975984 in words is "seventy-six billion, fifty-three million, nine hundred seventy-five thousand, nine hundred eighty-four".