5735664000 has 1024 divisors, whose sum is σ = 24746342400. Its totient is φ = 1290240000.

The previous prime is 5735663987. The next prime is 5735664013. The reversal of 5735664000 is 4665375.

5735664000 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 6 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5735663987) and next prime (5735664013).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80783965 + ... + 80784035.

It is an arithmetic number, because the mean of its divisors is an integer number (24166350).

Almost surely, 2^5735664000 is an apocalyptic number.

5735664000 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 5735664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12373171200).

5735664000 is an abundant number, since it is smaller than the sum of its proper divisors (19010678400).

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

5735664000 is a wasteful number, since it uses less digits than its factorization.

5735664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5735664000 is about 75734.1666620819. The cubic root of 5735664000 is about 1790.0338102079.

The spelling of 5735664000 in words is "five billion, seven hundred thirty-five million, six hundred sixty-four thousand".