76871617888464 has 1280 divisors, whose sum is σ = 278419680000000. Its totient is φ = 20221136732160.

The previous prime is 76871617888459. The next prime is 76871617888633. The reversal of 76871617888464 is 46488871617867.

76871617888464 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 1 + 6 + 1 + 78 + 88 + 464 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4855431168) is a multiple of the sum of its prime divisors (1792).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 61546530912 + ... + 61546532160.

It is an arithmetic number, because the mean of its divisors is an integer number (217515375000).

Almost surely, 2^{76871617888464} 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 76871617888464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209840000000).

76871617888464 is an abundant number, since it is smaller than the sum of its proper divisors (201548062111536).

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

76871617888464 is a wasteful number, since it uses less digits than its factorization.

76871617888464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1792 counting only the distinct ones).

The product of its digits is 4855431168, while the sum is 81.

The spelling of 76871617888464 in words is "seventy-six trillion, eight hundred seventy-one billion, six hundred seventeen million, eight hundred eighty-eight thousand, four hundred sixty-four".