18625440960 has 504 divisors, whose sum is σ = 75820127760. Its totient is φ = 4183216128.

The previous prime is 18625440959. The next prime is 18625440961. The reversal of 18625440960 is 6904452681.

18625440960 is a `hidden beast` number, since 18 + 6 + 2 + 544 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18625440959) and next prime (18625440961).

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (18625440961) 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, 8324962 + ... + 8327198.

Almost surely, 2^18625440960 is an apocalyptic number.

18625440960 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 18625440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37910063880).

18625440960 is an abundant number, since it is smaller than the sum of its proper divisors (57194686800).

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

18625440960 is a wasteful number, since it uses less digits than its factorization.

18625440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18625440960 in words is "eighteen billion, six hundred twenty-five million, four hundred forty thousand, nine hundred sixty".