130076628864 has 512 divisors, whose sum is σ = 439081896960. Its totient is φ = 33204142080.

The previous prime is 130076628863. The next prime is 130076628887. The reversal of 130076628864 is 468826670031.

130076628864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130076628863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233530474 + ... + 233531030.

It is an arithmetic number, because the mean of its divisors is an integer number (857581830).

Almost surely, 2^130076628864 is an apocalyptic number.

130076628864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130076628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219540948480).

130076628864 is an abundant number, since it is smaller than the sum of its proper divisors (309005268096).

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

130076628864 is a wasteful number, since it uses less digits than its factorization.

130076628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 130076628864 in words is "one hundred thirty billion, seventy-six million, six hundred twenty-eight thousand, eight hundred sixty-four".