5677102080 has 594 divisors, whose sum is σ = 22118690646. Its totient is φ = 1397440512.

The previous prime is 5677102073. The next prime is 5677102091. The reversal of 5677102080 is 802017765.

5677102080 is a `hidden beast` number, since 567 + 7 + 10 + 2 + 0 + 80 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26873856 + 5650228224 = 5184^2 + 75168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 436700154 + ... + 436700166.

Almost surely, 2^5677102080 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 5677102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059345323).

5677102080 is an abundant number, since it is smaller than the sum of its proper divisors (16441588566).

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

5677102080 is an frugal number, since it uses more digits than its factorization.

5677102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5677102080 is about 75346.5465698329. The cubic root of 5677102080 is about 1783.9207938720.

The spelling of 5677102080 in words is "five billion, six hundred seventy-seven million, one hundred two thousand, eighty".