18457657920 has 1008 divisors, whose sum is σ = 77119398720. Its totient is φ = 4165447680.

The previous prime is 18457657909. The next prime is 18457657963. The reversal of 18457657920 is 2975675481.

18457657920 is a `hidden beast` number, since 1 + 8 + 45 + 7 + 6 + 579 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 595408305 + ... + 595408335.

It is an arithmetic number, because the mean of its divisors is an integer number (76507340).

Almost surely, 2^18457657920 is an apocalyptic number.

18457657920 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 18457657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38559699360).

18457657920 is an abundant number, since it is smaller than the sum of its proper divisors (58661740800).

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

18457657920 is a wasteful number, since it uses less digits than its factorization.

18457657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 18457657920 in words is "eighteen billion, four hundred fifty-seven million, six hundred fifty-seven thousand, nine hundred twenty".