76224245832 has 256 divisors, whose sum is σ = 246891110400. Its totient is φ = 21607560000.

The previous prime is 76224245831. The next prime is 76224245833. The reversal of 76224245832 is 23854242267.

76224245832 is a `hidden beast` number, since 7 + 6 + 22 + 42 + 4 + 583 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (76224245831) and next prime (76224245833).

It is not an unprimeable number, because it can be changed into a prime (76224245831) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16041457 + ... + 16046207.

It is an arithmetic number, because the mean of its divisors is an integer number (964418400).

Almost surely, 2^76224245832 is an apocalyptic number.

76224245832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76224245832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123445555200).

76224245832 is an abundant number, since it is smaller than the sum of its proper divisors (170666864568).

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

76224245832 is a wasteful number, since it uses less digits than its factorization.

76224245832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4894 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 76224245832 in words is "seventy-six billion, two hundred twenty-four million, two hundred forty-five thousand, eight hundred thirty-two".