18865632240 has 1200 divisors, whose sum is σ = 85403248128. Its totient is φ = 3771795456.

The previous prime is 18865632229. The next prime is 18865632259. The reversal of 18865632240 is 4223656881.

18865632240 is a `hidden beast` number, since 1 + 8 + 8 + 6 + 5 + 632 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 176314267 + ... + 176314373.

Almost surely, 2^18865632240 is an apocalyptic number.

18865632240 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 18865632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42701624064).

18865632240 is an abundant number, since it is smaller than the sum of its proper divisors (66537615888).

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

18865632240 is a wasteful number, since it uses less digits than its factorization.

18865632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 18865632240 in words is "eighteen billion, eight hundred sixty-five million, six hundred thirty-two thousand, two hundred forty".