5677434504 has 256 divisors, whose sum is σ = 18426777600. Its totient is φ = 1606132800.

The previous prime is 5677434493. The next prime is 5677434551. The reversal of 5677434504 is 4054347765.

5677434504 is a `hidden beast` number, since 567 + 7 + 4 + 34 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5677434504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18493119 + ... + 18493425.

It is an arithmetic number, because the mean of its divisors is an integer number (71979600).

Almost surely, 2^5677434504 is an apocalyptic number.

5677434504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5677434504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213388800).

5677434504 is an abundant number, since it is smaller than the sum of its proper divisors (12749343096).

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

5677434504 is a wasteful number, since it uses less digits than its factorization.

5677434504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The square root of 5677434504 is about 75348.7525046036. The cubic root of 5677434504 is about 1783.9556124879.

The spelling of 5677434504 in words is "five billion, six hundred seventy-seven million, four hundred thirty-four thousand, five hundred four".