76688134848000 has 960 divisors, whose sum is σ = 298372013843904. Its totient is φ = 18819440640000.

The previous prime is 76688134847999. The next prime is 76688134848023. The reversal of 76688134848000 is 84843188667.

76688134848000 is a `hidden beast` number, since 7 + 6 + 68 + 8 + 13 + 484 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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, 2478512530 + ... + 2478543470.

Almost surely, 2^{76688134848000} 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 76688134848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149186006921952).

76688134848000 is an abundant number, since it is smaller than the sum of its proper divisors (221683878995904).

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

76688134848000 is a wasteful number, since it uses less digits than its factorization.

76688134848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31324 (or 31295 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 76688134848000 in words is "seventy-six trillion, six hundred eighty-eight billion, one hundred thirty-four million, eight hundred forty-eight thousand".