76648486131468 has 96 divisors (see below), whose sum is σ = 200239935633920. Its totient is φ = 25354330499520.

The previous prime is 76648486131439. The next prime is 76648486131473. The reversal of 76648486131468 is 86413168484667.

76648486131468 is a `hidden beast` number, since 7 + 6 + 6 + 4 + 8 + 486 + 131 + 4 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76648486131396 and 76648486131405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8342721 + ... + 14929767.

Almost surely, 2^{76648486131468} 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 76648486131468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100119967816960).

76648486131468 is an abundant number, since it is smaller than the sum of its proper divisors (123591449502452).

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

76648486131468 is a wasteful number, since it uses less digits than its factorization.

76648486131468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587884 (or 6587876 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 76648486131468 in words is "seventy-six trillion, six hundred forty-eight billion, four hundred eighty-six million, one hundred thirty-one thousand, four hundred sixty-eight".