18832072320 has 576 divisors, whose sum is σ = 71809264800. Its totient is φ = 4715200512.

The previous prime is 18832072309. The next prime is 18832072327. The reversal of 18832072320 is 2327023881.

It is a happy number.

18832072320 is a `hidden beast` number, since 1 + 8 + 8 + 320 + 7 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18832072327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44945071 + ... + 44945489.

Almost surely, 2^18832072320 is an apocalyptic number.

18832072320 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 18832072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35904632400).

18832072320 is an abundant number, since it is smaller than the sum of its proper divisors (52977192480).

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

18832072320 is an equidigital number, since it uses as much as digits as its factorization.

18832072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18832072320 in words is "eighteen billion, eight hundred thirty-two million, seventy-two thousand, three hundred twenty".