4564177920 has 264 divisors, whose sum is σ = 16248250824. Its totient is φ = 1183776768.

The previous prime is 4564177909. The next prime is 4564178009. The reversal of 4564177920 is 297714654.

4564177920 is a `hidden beast` number, since 4 + 564 + 17 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 227165184 + 4337012736 = 15072^2 + 65856^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703622 + ... + 1706298.

Almost surely, 2^4564177920 is an apocalyptic number.

4564177920 is a gapful number since it is divisible by the number (40) 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 4564177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124125412).

4564177920 is an abundant number, since it is smaller than the sum of its proper divisors (11684072904).

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

4564177920 is a wasteful number, since it uses less digits than its factorization.

4564177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4564177920 is about 67558.6998098690. The cubic root of 4564177920 is about 1658.7751549106.

The spelling of 4564177920 in words is "four billion, five hundred sixty-four million, one hundred seventy-seven thousand, nine hundred twenty".