32381818560 has 1008 divisors, whose sum is σ = 147032776800. Its totient is φ = 6465650688.

The previous prime is 32381818549. The next prime is 32381818589. The reversal of 32381818560 is 6581818323.

32381818560 is a `hidden beast` number, since 3 + 2 + 3 + 8 + 1 + 81 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34856176 + ... + 34857104.

It is an arithmetic number, because the mean of its divisors is an integer number (145865850).

Almost surely, 2^32381818560 is an apocalyptic number.

32381818560 is a gapful number since it is divisible by the number (30) 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 32381818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73516388400).

32381818560 is an abundant number, since it is smaller than the sum of its proper divisors (114650958240).

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

32381818560 is a wasteful number, since it uses less digits than its factorization.

32381818560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 323818 and 18560, that added together give a triangular number (342378 = T₈₂₇).

The spelling of 32381818560 in words is "thirty-two billion, three hundred eighty-one million, eight hundred eighteen thousand, five hundred sixty".