12493664640 has 512 divisors, whose sum is σ = 46390579200. Its totient is φ = 3173990400.

The previous prime is 12493664639. The next prime is 12493664641. The reversal of 12493664640 is 4646639421.

12493664640 is a `hidden beast` number, since 1 + 249 + 366 + 4 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12493664639) and next prime (12493664641).

It is a super-2 number, since 2×12493664640² (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 not an unprimeable number, because it can be changed into a prime (12493664641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44461300 + ... + 44461580.

It is an arithmetic number, because the mean of its divisors is an integer number (90606600).

Almost surely, 2^12493664640 is an apocalyptic number.

12493664640 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 12493664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23195289600).

12493664640 is an abundant number, since it is smaller than the sum of its proper divisors (33896914560).

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

12493664640 is a wasteful number, since it uses less digits than its factorization.

12493664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 12493664640 in words is "twelve billion, four hundred ninety-three million, six hundred sixty-four thousand, six hundred forty".