76325642496 has 144 divisors (see below), whose sum is σ = 226449854400. Its totient is φ = 25358303232.

The previous prime is 76325642453. The next prime is 76325642507. The reversal of 76325642496 is 69424652367.

76325642496 is a `hidden beast` number, since 7 + 6 + 32 + 564 + 2 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×76325642496³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2104000 + ... + 2139968.

Almost surely, 2^76325642496 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 76325642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113224927200).

76325642496 is an abundant number, since it is smaller than the sum of its proper divisors (150124211904).

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

76325642496 is a wasteful number, since it uses less digits than its factorization.

76325642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36301 (or 36281 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 76325642496 in words is "seventy-six billion, three hundred twenty-five million, six hundred forty-two thousand, four hundred ninety-six".