76376593268352 has 768 divisors, whose sum is σ = 245469568081920. Its totient is φ = 22641761157120.

The previous prime is 76376593268303. The next prime is 76376593268413. The reversal of 76376593268352 is 25386239567367.

76376593268352 is a `hidden beast` number, since 7 + 6 + 3 + 7 + 6 + 5 + 9 + 3 + 268 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 71850040173 + ... + 71850041235.

It is an arithmetic number, because the mean of its divisors is an integer number (319621833440).

Almost surely, 2^{76376593268352} is an apocalyptic number.

76376593268352 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 76376593268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122734784040960).

76376593268352 is an abundant number, since it is smaller than the sum of its proper divisors (169092974813568).

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

76376593268352 is a wasteful number, since it uses less digits than its factorization.

76376593268352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2266 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 76376593268352 in words is "seventy-six trillion, three hundred seventy-six billion, five hundred ninety-three million, two hundred sixty-eight thousand, three hundred fifty-two".