130767056640 has 576 divisors, whose sum is σ = 514617062400. Its totient is φ = 31175884800.

The previous prime is 130767056591. The next prime is 130767056653. The reversal of 130767056640 is 46650767031.

130767056640 is a `hidden beast` number, since 13 + 0 + 7 + 6 + 70 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 23186941 + ... + 23192579.

It is an arithmetic number, because the mean of its divisors is an integer number (893432400).

Almost surely, 2^130767056640 is an apocalyptic number.

130767056640 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 130767056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257308531200).

130767056640 is an abundant number, since it is smaller than the sum of its proper divisors (383850005760).

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

130767056640 is a wasteful number, since it uses less digits than its factorization.

130767056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 130767056640 in words is "one hundred thirty billion, seven hundred sixty-seven million, fifty-six thousand, six hundred forty".