18540688320 has 1344 divisors, whose sum is σ = 87167923200. Its totient is φ = 3599769600.

The previous prime is 18540688261. The next prime is 18540688367. The reversal of 18540688320 is 2388604581.

18540688320 is a `hidden beast` number, since 1 + 8 + 540 + 6 + 8 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 598086705 + ... + 598086735.

Almost surely, 2^18540688320 is an apocalyptic number.

18540688320 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 18540688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43583961600).

18540688320 is an abundant number, since it is smaller than the sum of its proper divisors (68627234880).

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

18540688320 is a wasteful number, since it uses less digits than its factorization.

18540688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18540688320 in words is "eighteen billion, five hundred forty million, six hundred eighty-eight thousand, three hundred twenty".