13718624640 has 512 divisors, whose sum is σ = 53546572800. Its totient is φ = 2916089856.

The previous prime is 13718624581. The next prime is 13718624653. The reversal of 13718624640 is 4642681731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13718624592 and 13718624601.

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, 22162251 + ... + 22162869.

It is an arithmetic number, because the mean of its divisors is an integer number (104583150).

Almost surely, 2^13718624640 is an apocalyptic number.

13718624640 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 13718624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26773286400).

13718624640 is an abundant number, since it is smaller than the sum of its proper divisors (39827948160).

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

13718624640 is a wasteful number, since it uses less digits than its factorization.

13718624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 13718624640 in words is "thirteen billion, seven hundred eighteen million, six hundred twenty-four thousand, six hundred forty".