18479957760 has 288 divisors, whose sum is σ = 71541308160. Its totient is φ = 4479897600.

The previous prime is 18479957759. The next prime is 18479957789. The reversal of 18479957760 is 6775997481.

18479957760 is a `hidden beast` number, since 1 + 8 + 479 + 95 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×18479957760² (a number of 21 digits) contains 22 as substring.

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, 355855 + ... + 404465.

It is an arithmetic number, because the mean of its divisors is an integer number (248407320).

Almost surely, 2^18479957760 is an apocalyptic number.

18479957760 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 18479957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35770654080).

18479957760 is an abundant number, since it is smaller than the sum of its proper divisors (53061350400).

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

18479957760 is a wasteful number, since it uses less digits than its factorization.

18479957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48652 (or 48632 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 18479957760 in words is "eighteen billion, four hundred seventy-nine million, nine hundred fifty-seven thousand, seven hundred sixty".