5638174920 has 384 divisors, whose sum is σ = 22118054400. Its totient is φ = 1217728512.

The previous prime is 5638174907. The next prime is 5638174961. The reversal of 5638174920 is 294718365.

5638174920 is a `hidden beast` number, since 5 + 638 + 1 + 7 + 4 + 9 + 2 + 0 = 666.

5638174920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

5638174920 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5157894 + ... + 5158986.

It is an arithmetic number, because the mean of its divisors is an integer number (57599100).

It is a 1-persistent number, because it is pandigital, but 2⋅5638174920 = 11276349840 is not.

Almost surely, 2^5638174920 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 5638174920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059027200).

5638174920 is an abundant number, since it is smaller than the sum of its proper divisors (16479879480).

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

5638174920 is a wasteful number, since it uses less digits than its factorization.

5638174920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5638174920 is about 75087.7814294709. The cubic root of 5638174920 is about 1779.8340669291.

The spelling of 5638174920 in words is "five billion, six hundred thirty-eight million, one hundred seventy-four thousand, nine hundred twenty".