538663680 has 432 divisors, whose sum is σ = 2066238720. Its totient is φ = 128950272.

The previous prime is 538663673. The next prime is 538663693. The reversal of 538663680 is 86366835.

538663680 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 636 + 8 + 0 = 666.

It is a super-3 number, since 3×538663680³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5034187 + ... + 5034293.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^538663680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033119360).

538663680 is an abundant number, since it is smaller than the sum of its proper divisors (1527575040).

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

538663680 is a wasteful number, since it uses less digits than its factorization.

538663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 538663680 is about 23209.1292382976. The cubic root of 538663680 is about 813.6530022350.

The spelling of 538663680 in words is "five hundred thirty-eight million, six hundred sixty-three thousand, six hundred eighty".