76140532224 has 160 divisors (see below), whose sum is σ = 225976608000. Its totient is φ = 25313144832.

The previous prime is 76140532187. The next prime is 76140532243. The reversal of 76140532224 is 42223504167.

76140532224 is a `hidden beast` number, since 7 + 61 + 40 + 532 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5370457 + ... + 5384615.

It is an arithmetic number, because the mean of its divisors is an integer number (1412353800).

Almost surely, 2^76140532224 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 76140532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112988304000).

76140532224 is an abundant number, since it is smaller than the sum of its proper divisors (149836075776).

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

76140532224 is a wasteful number, since it uses less digits than its factorization.

76140532224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14575 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 76140532224 in words is "seventy-six billion, one hundred forty million, five hundred thirty-two thousand, two hundred twenty-four".