76171027968 has 640 divisors, whose sum is σ = 287317324800. Its totient is φ = 19396952064.

The previous prime is 76171027967. The next prime is 76171027969. The reversal of 76171027968 is 86972017167.

76171027968 is a `hidden beast` number, since 7 + 617 + 10 + 2 + 7 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (76171027967) and next prime (76171027969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76171027963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31254846 + ... + 31257282.

It is an arithmetic number, because the mean of its divisors is an integer number (448933320).

Almost surely, 2^76171027968 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 76171027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143658662400).

76171027968 is an abundant number, since it is smaller than the sum of its proper divisors (211146296832).

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

76171027968 is a wasteful number, since it uses less digits than its factorization.

76171027968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 76171027968 in words is "seventy-six billion, one hundred seventy-one million, twenty-seven thousand, nine hundred sixty-eight".