5677346304 has 480 divisors, whose sum is σ = 19794018816. Its totient is φ = 1532805120.

The previous prime is 5677346303. The next prime is 5677346309. The reversal of 5677346304 is 4036437765.

5677346304 is a `hidden beast` number, since 5 + 6 + 7 + 7 + 3 + 4 + 630 + 4 = 666.

It is a super-2 number, since 2×5677346304² = 64464522111084920832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5677346304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5677346303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79962589 + ... + 79962659.

Almost surely, 2^5677346304 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 5677346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9897009408).

5677346304 is an abundant number, since it is smaller than the sum of its proper divisors (14116672512).

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

5677346304 is a wasteful number, since it uses less digits than its factorization.

5677346304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The square root of 5677346304 is about 75348.1672238947. The cubic root of 5677346304 is about 1783.9463744128.

The spelling of 5677346304 in words is "five billion, six hundred seventy-seven million, three hundred forty-six thousand, three hundred four".