76488980736 has 576 divisors, whose sum is σ = 255895718400. Its totient is φ = 19786629120.

The previous prime is 76488980681. The next prime is 76488980747. The reversal of 76488980736 is 63708988467.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513348790 + ... + 513348938.

It is an arithmetic number, because the mean of its divisors is an integer number (444263400).

Almost surely, 2^76488980736 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 76488980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127947859200).

76488980736 is an abundant number, since it is smaller than the sum of its proper divisors (179406737664).

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

76488980736 is a wasteful number, since it uses less digits than its factorization.

76488980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 76488980736 in words is "seventy-six billion, four hundred eighty-eight million, nine hundred eighty thousand, seven hundred thirty-six".