76848621696 has 576 divisors, whose sum is σ = 288183080640. Its totient is φ = 19953838080.

The previous prime is 76848621673. The next prime is 76848621697. The reversal of 76848621696 is 69612684867.

76848621696 is a `hidden beast` number, since 7 + 68 + 486 + 2 + 1 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (76848621697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26343630 + ... + 26346546.

Almost surely, 2^76848621696 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 76848621696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144091540320).

76848621696 is an abundant number, since it is smaller than the sum of its proper divisors (211334458944).

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

76848621696 is a wasteful number, since it uses less digits than its factorization.

76848621696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2940 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 76848621696 in words is "seventy-six billion, eight hundred forty-eight million, six hundred twenty-one thousand, six hundred ninety-six".