5677555680 has 240 divisors, whose sum is σ = 21092536080. Its totient is φ = 1434267648.

The previous prime is 5677555669. The next prime is 5677555711. The reversal of 5677555680 is 865557765.

5677555680 is a `hidden beast` number, since 5 + 6 + 7 + 7 + 5 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234712 + ... + 257768.

It is an arithmetic number, because the mean of its divisors is an integer number (87885567).

Almost surely, 2^5677555680 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 5677555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546268040).

5677555680 is an abundant number, since it is smaller than the sum of its proper divisors (15414980400).

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

5677555680 is a wasteful number, since it uses less digits than its factorization.

5677555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23103 (or 23086 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The square root of 5677555680 is about 75349.5566012170. The cubic root of 5677555680 is about 1783.9683043160.

The spelling of 5677555680 in words is "five billion, six hundred seventy-seven million, five hundred fifty-five thousand, six hundred eighty".