13712437952640 has 640 divisors, whose sum is σ = 56093382892800. Its totient is φ = 3127095631872.

The previous prime is 13712437952599. The next prime is 13712437952659. The reversal of 13712437952640 is 4625973421731.

13712437952640 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 2 + 4 + 3 + 79 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159261282 + ... + 159347358.

It is an arithmetic number, because the mean of its divisors is an integer number (87645910770).

Almost surely, 2^{13712437952640} is an apocalyptic number.

13712437952640 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 13712437952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28046691446400).

13712437952640 is an abundant number, since it is smaller than the sum of its proper divisors (42380944940160).

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

13712437952640 is an equidigital number, since it uses as much as digits as its factorization.

13712437952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86554 (or 86533 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 13712437952640 in words is "thirteen trillion, seven hundred twelve billion, four hundred thirty-seven million, nine hundred fifty-two thousand, six hundred forty".