12662748360 has 512 divisors, whose sum is σ = 46227456000. Its totient is φ = 3072577536.

The previous prime is 12662748359. The next prime is 12662748389. The reversal of 12662748360 is 6384726621.

12662748360 is a `hidden beast` number, since 1 + 266 + 27 + 4 + 8 + 360 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99706617 + ... + 99706743.

It is an arithmetic number, because the mean of its divisors is an integer number (90288000).

Almost surely, 2^12662748360 is an apocalyptic number.

12662748360 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 12662748360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23113728000).

12662748360 is an abundant number, since it is smaller than the sum of its proper divisors (33564707640).

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

12662748360 is a wasteful number, since it uses less digits than its factorization.

12662748360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12662748360 in words is "twelve billion, six hundred sixty-two million, seven hundred forty-eight thousand, three hundred sixty".