18624522240 has 768 divisors, whose sum is σ = 71327692800. Its totient is φ = 4600627200.

The previous prime is 18624522233. The next prime is 18624522263. The reversal of 18624522240 is 4222542681.

18624522240 is a `hidden beast` number, since 1 + 8 + 624 + 5 + 2 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 18624522195 and 18624522204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351406054 + ... + 351406106.

It is an arithmetic number, because the mean of its divisors is an integer number (92874600).

Almost surely, 2^18624522240 is an apocalyptic number.

18624522240 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 18624522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35663846400).

18624522240 is an abundant number, since it is smaller than the sum of its proper divisors (52703170560).

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

18624522240 is a wasteful number, since it uses less digits than its factorization.

18624522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 18624522240 in words is "eighteen billion, six hundred twenty-four million, five hundred twenty-two thousand, two hundred forty".