12494640960 has 448 divisors, whose sum is σ = 46994307840. Its totient is φ = 3114270720.

The previous prime is 12494640953. The next prime is 12494640971. The reversal of 12494640960 is 6904649421.

12494640960 is a `hidden beast` number, since 12 + 494 + 64 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×12494640960² (a number of 21 digits) contains 22 as substring.

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, 37747995 + ... + 37748325.

Almost surely, 2^12494640960 is an apocalyptic number.

12494640960 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 12494640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497153920).

12494640960 is an abundant number, since it is smaller than the sum of its proper divisors (34499666880).

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

12494640960 is a wasteful number, since it uses less digits than its factorization.

12494640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12494640960 in words is "twelve billion, four hundred ninety-four million, six hundred forty thousand, nine hundred sixty".