76127233508352 has 1320 divisors, whose sum is σ = 256747953204864. Its totient is φ = 22437925945344.

The previous prime is 76127233508327. The next prime is 76127233508363. The reversal of 76127233508352 is 25380533272167.

76127233508352 is a `hidden beast` number, since 7 + 6 + 1 + 2 + 7 + 233 + 50 + 8 + 352 = 666.

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 119 ways as a sum of consecutive naturals, for example, 31945963353 + ... + 31945965735.

Almost surely, 2^{76127233508352} is an apocalyptic number.

76127233508352 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 76127233508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128373976602432).

76127233508352 is an abundant number, since it is smaller than the sum of its proper divisors (180620719696512).

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

76127233508352 is a wasteful number, since it uses less digits than its factorization.

76127233508352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 76127233508352 in words is "seventy-six trillion, one hundred twenty-seven billion, two hundred thirty-three million, five hundred eight thousand, three hundred fifty-two".