76628351760 has 160 divisors (see below), whose sum is σ = 242518406400. Its totient is φ = 20010547200.

The previous prime is 76628351729. The next prime is 76628351771. The reversal of 76628351760 is 6715382667.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 2523870 + ... + 2554050.

It is an arithmetic number, because the mean of its divisors is an integer number (1515740040).

Almost surely, 2^76628351760 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 76628351760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121259203200).

76628351760 is an abundant number, since it is smaller than the sum of its proper divisors (165890054640).

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

76628351760 is a wasteful number, since it uses less digits than its factorization.

76628351760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30417 (or 30411 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 76628351760 in words is "seventy-six billion, six hundred twenty-eight million, three hundred fifty-one thousand, seven hundred sixty".