5702564700 has 288 divisors, whose sum is σ = 21629726720. Its totient is φ = 1261267200.

The previous prime is 5702564629. The next prime is 5702564743. The reversal of 5702564700 is 74652075.

5702564700 is a `hidden beast` number, since 5 + 7 + 0 + 2 + 5 + 647 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 581034 + ... + 590766.

Almost surely, 2^5702564700 is an apocalyptic number.

5702564700 is a gapful number since it is divisible by the number (50) 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 5702564700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814863360).

5702564700 is an abundant number, since it is smaller than the sum of its proper divisors (15927162020).

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

5702564700 is a wasteful number, since it uses less digits than its factorization.

5702564700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5702564700 is about 75515.3275832132. The cubic root of 5702564700 is about 1786.5838635947.

The spelling of 5702564700 in words is "five billion, seven hundred two million, five hundred sixty-four thousand, seven hundred".