18968262480 has 200 divisors, whose sum is σ = 66356690400. Its totient is φ = 5021574912.

The previous prime is 18968262451. The next prime is 18968262487. The reversal of 18968262480 is 8426286981.

18968262480 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 8 + 2 + 624 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18968262487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 890191 + ... + 911249.

It is an arithmetic number, because the mean of its divisors is an integer number (331783452).

Almost surely, 2^18968262480 is an apocalyptic number.

18968262480 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 18968262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33178345200).

18968262480 is an abundant number, since it is smaller than the sum of its proper divisors (47388427920).

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

18968262480 is a wasteful number, since it uses less digits than its factorization.

18968262480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21223 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 18968262480 in words is "eighteen billion, nine hundred sixty-eight million, two hundred sixty-two thousand, four hundred eighty".