76344213960 has 384 divisors, whose sum is σ = 298473477120. Its totient is φ = 17188630272.

The previous prime is 76344213947. The next prime is 76344214039. The reversal of 76344213960 is 6931244367.

76344213960 is a `hidden beast` number, since 7 + 6 + 344 + 213 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4550307 + ... + 4567053.

It is an arithmetic number, because the mean of its divisors is an integer number (777274680).

Almost surely, 2^76344213960 is an apocalyptic number.

76344213960 is a gapful number since it is divisible by the number (70) 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 76344213960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149236738560).

76344213960 is an abundant number, since it is smaller than the sum of its proper divisors (222129263160).

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

76344213960 is a wasteful number, since it uses less digits than its factorization.

76344213960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16847 (or 16831 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 76344213960 in words is "seventy-six billion, three hundred forty-four million, two hundred thirteen thousand, nine hundred sixty".