18648679680 has 576 divisors, whose sum is σ = 71523648000. Its totient is φ = 4587061248.

The previous prime is 18648679667. The next prime is 18648679681. The reversal of 18648679680 is 8697684681.

18648679680 is a `hidden beast` number, since 1 + 8 + 6 + 486 + 79 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18648679681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23051116 + ... + 23051924.

It is an arithmetic number, because the mean of its divisors is an integer number (124173000).

Almost surely, 2^18648679680 is an apocalyptic number.

18648679680 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 18648679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35761824000).

18648679680 is an abundant number, since it is smaller than the sum of its proper divisors (52874968320).

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

18648679680 is a wasteful number, since it uses less digits than its factorization.

18648679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 18648679680 in words is "eighteen billion, six hundred forty-eight million, six hundred seventy-nine thousand, six hundred eighty".