13472720640 has 216 divisors, whose sum is σ = 49068386640. Its totient is φ = 3403579392.

The previous prime is 13472720633. The next prime is 13472720671. The reversal of 13472720640 is 4602727431.

13472720640 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 2 + 7 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13472720595 and 13472720604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188104 + ... + 249656.

Almost surely, 2^13472720640 is an apocalyptic number.

13472720640 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 13472720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24534193320).

13472720640 is an abundant number, since it is smaller than the sum of its proper divisors (35595666000).

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

13472720640 is a wasteful number, since it uses less digits than its factorization.

13472720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61599 (or 61582 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 13472720640 in words is "thirteen billion, four hundred seventy-two million, seven hundred twenty thousand, six hundred forty".