76105691424 has 576 divisors, whose sum is σ = 269611130880. Its totient is φ = 20801733120.

The previous prime is 76105691419. The next prime is 76105691447. The reversal of 76105691424 is 42419650167.

76105691424 is a `hidden beast` number, since 7 + 61 + 0 + 569 + 1 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76105691424.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135178567 + ... + 135179129.

It is an arithmetic number, because the mean of its divisors is an integer number (468074880).

Almost surely, 2^76105691424 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 76105691424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134805565440).

76105691424 is an abundant number, since it is smaller than the sum of its proper divisors (193505439456).

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

76105691424 is a wasteful number, since it uses less digits than its factorization.

76105691424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 76105691424 in words is "seventy-six billion, one hundred five million, six hundred ninety-one thousand, four hundred twenty-four".