18768776160 has 192 divisors, whose sum is σ = 60116442624. Its totient is φ = 4921190400.

The previous prime is 18768776141. The next prime is 18768776239. The reversal of 18768776160 is 6167786781.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18768776160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23548882 + ... + 23549678.

It is an arithmetic number, because the mean of its divisors is an integer number (313106472).

Almost surely, 2^18768776160 is an apocalyptic number.

18768776160 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 18768776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30058221312).

18768776160 is an abundant number, since it is smaller than the sum of its proper divisors (41347666464).

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

18768776160 is a wasteful number, since it uses less digits than its factorization.

18768776160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 18768776160 in words is "eighteen billion, seven hundred sixty-eight million, seven hundred seventy-six thousand, one hundred sixty".