76171099680 has 768 divisors, whose sum is σ = 296192816640. Its totient is φ = 18166726656.

The previous prime is 76171099663. The next prime is 76171099709. The reversal of 76171099680 is 8699017167.

76171099680 is a `hidden beast` number, since 7 + 617 + 10 + 9 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×76171099680² (a number of 23 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 467307279 + ... + 467307441.

It is an arithmetic number, because the mean of its divisors is an integer number (385667730).

Almost surely, 2^76171099680 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 76171099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148096408320).

76171099680 is an abundant number, since it is smaller than the sum of its proper divisors (220021716960).

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

76171099680 is a wasteful number, since it uses less digits than its factorization.

76171099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 76171099680 in words is "seventy-six billion, one hundred seventy-one million, ninety-nine thousand, six hundred eighty".