18875407968 has 336 divisors, whose sum is σ = 58947710976. Its totient is φ = 5937442560.

The previous prime is 18875407939. The next prime is 18875408021. The reversal of 18875407968 is 86970457881.

18875407968 is a `hidden beast` number, since 1 + 8 + 87 + 540 + 7 + 9 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31095921 + ... + 31096527.

It is an arithmetic number, because the mean of its divisors is an integer number (175439616).

Almost surely, 2^18875407968 is an apocalyptic number.

18875407968 is a gapful number since it is divisible by the number (18) 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 18875407968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29473855488).

18875407968 is an abundant number, since it is smaller than the sum of its proper divisors (40072303008).

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

18875407968 is an equidigital number, since it uses as much as digits as its factorization.

18875407968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 18875407968 in words is "eighteen billion, eight hundred seventy-five million, four hundred seven thousand, nine hundred sixty-eight".