13072633920 has 168 divisors, whose sum is σ = 46515207960. Its totient is φ = 3365806080.

The previous prime is 13072633843. The next prime is 13072633933. The reversal of 13072633920 is 2933627031.

13072633920 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 263 + 392 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1325542464 + 11747091456 = 36408^2 + 108384^2 .

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

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, 5260 + ... + 161780.

Almost surely, 2^13072633920 is an apocalyptic number.

13072633920 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 13072633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23257603980).

13072633920 is an abundant number, since it is smaller than the sum of its proper divisors (33442574040).

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

13072633920 is a wasteful number, since it uses less digits than its factorization.

13072633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156573 (or 156560 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 13072633920 in words is "thirteen billion, seventy-two million, six hundred thirty-three thousand, nine hundred twenty".