130726632960 has 960 divisors, whose sum is σ = 582912405504. Its totient is φ = 26276659200.

The previous prime is 130726632923. The next prime is 130726632961. The reversal of 130726632960 is 69236627031.

130726632960 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 2 + 6 + 632 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130726632961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54995292 + ... + 54997668.

Almost surely, 2^130726632960 is an apocalyptic number.

130726632960 is a gapful number since it is divisible by the number (10) 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 130726632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291456202752).

130726632960 is an abundant number, since it is smaller than the sum of its proper divisors (452185772544).

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

130726632960 is a wasteful number, since it uses less digits than its factorization.

130726632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 130726632960 in words is "one hundred thirty billion, seven hundred twenty-six million, six hundred thirty-two thousand, nine hundred sixty".