5267604384 has 288 divisors, whose sum is σ = 18195166080. Its totient is φ = 1412038656.

The previous prime is 5267604367. The next prime is 5267604409. The reversal of 5267604384 is 4834067625.

5267604384 is a `hidden beast` number, since 5 + 2 + 6 + 7 + 604 + 38 + 4 = 666.

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

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, 4327744 + ... + 4328960.

It is an arithmetic number, because the mean of its divisors is an integer number (63177660).

Almost surely, 2^5267604384 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 5267604384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097583040).

5267604384 is an abundant number, since it is smaller than the sum of its proper divisors (12927561696).

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

5267604384 is a wasteful number, since it uses less digits than its factorization.

5267604384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5267604384 is about 72578.2638535808. The cubic root of 5267604384 is about 1739.9537998038.

The spelling of 5267604384 in words is "five billion, two hundred sixty-seven million, six hundred four thousand, three hundred eighty-four".