76211418096 has 120 divisors (see below), whose sum is σ = 234979982640. Its totient is φ = 22865664000.

The previous prime is 76211418079. The next prime is 76211418139. The reversal of 76211418096 is 69081411267.

76211418096 is a `hidden beast` number, since 7 + 621 + 1 + 4 + 18 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78201 + ... + 398168.

It is an arithmetic number, because the mean of its divisors is an integer number (1958166522).

Almost surely, 2^76211418096 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 76211418096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117489991320).

76211418096 is an abundant number, since it is smaller than the sum of its proper divisors (158768564544).

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

76211418096 is a wasteful number, since it uses less digits than its factorization.

76211418096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476495 (or 476486 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 76211418096 in words is "seventy-six billion, two hundred eleven million, four hundred eighteen thousand, ninety-six".