5677656336 has 160 divisors (see below), whose sum is σ = 17851536000. Its totient is φ = 1713438720.

The previous prime is 5677656239. The next prime is 5677656367. The reversal of 5677656336 is 6336567765.

It is a happy number.

5677656336 is a `hidden beast` number, since 5 + 6 + 7 + 76 + 563 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218940 + ... + 1223588.

It is an arithmetic number, because the mean of its divisors is an integer number (111572100).

Almost surely, 2^5677656336 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 5677656336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925768000).

5677656336 is an abundant number, since it is smaller than the sum of its proper divisors (12173879664).

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

5677656336 is a wasteful number, since it uses less digits than its factorization.

5677656336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934 (or 4922 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 54.

The square root of 5677656336 is about 75350.2245252129. The cubic root of 5677656336 is about 1783.9788467667.

The spelling of 5677656336 in words is "five billion, six hundred seventy-seven million, six hundred fifty-six thousand, three hundred thirty-six".