13672295424 has 352 divisors, whose sum is σ = 45158457600. Its totient is φ = 4060938240.

The previous prime is 13672295383. The next prime is 13672295447. The reversal of 13672295424 is 42459227631.

13672295424 is a `hidden beast` number, since 1 + 36 + 72 + 2 + 9 + 542 + 4 = 666.

It is a super-2 number, since 2×13672295424² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13672295424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8929539 + ... + 8931069.

Almost surely, 2^13672295424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13672295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579228800).

13672295424 is an abundant number, since it is smaller than the sum of its proper divisors (31486162176).

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

13672295424 is a wasteful number, since it uses less digits than its factorization.

13672295424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1572 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 13672295424 in words is "thirteen billion, six hundred seventy-two million, two hundred ninety-five thousand, four hundred twenty-four".