12730625460 has 288 divisors, whose sum is σ = 45429576192. Its totient is φ = 2825072640.

The previous prime is 12730625459. The next prime is 12730625543. The reversal of 12730625460 is 6452603721.

12730625460 is a `hidden beast` number, since 1 + 27 + 3 + 0 + 625 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13586112 + ... + 13587048.

It is an arithmetic number, because the mean of its divisors is an integer number (157741584).

Almost surely, 2^12730625460 is an apocalyptic number.

12730625460 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 12730625460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22714788096).

12730625460 is an abundant number, since it is smaller than the sum of its proper divisors (32698950732).

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

12730625460 is a wasteful number, since it uses less digits than its factorization.

12730625460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12730625460 in words is "twelve billion, seven hundred thirty million, six hundred twenty-five thousand, four hundred sixty".