5677260160 has 512 divisors, whose sum is σ = 17489001600. Its totient is φ = 1730150400.

The previous prime is 5677260137. The next prime is 5677260161. The reversal of 5677260160 is 610627765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5677260161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63789396 + ... + 63789484.

Almost surely, 2^5677260160 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 5677260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744500800).

5677260160 is an abundant number, since it is smaller than the sum of its proper divisors (11811741440).

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

5677260160 is a wasteful number, since it uses less digits than its factorization.

5677260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 5677260160 is about 75347.5955820755. The cubic root of 5677260160 is about 1783.9373515909.

The spelling of 5677260160 in words is "five billion, six hundred seventy-seven million, two hundred sixty thousand, one hundred sixty".