5770944000 has 480 divisors, whose sum is σ = 21360534624. Its totient is φ = 1496678400.

The previous prime is 5770943989. The next prime is 5770944019. The reversal of 5770944000 is 4490775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5770944000² = 66607589302272000000, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24767884 + ... + 24768116.

Almost surely, 2^5770944000 is an apocalyptic number.

5770944000 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 5770944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10680267312).

5770944000 is an abundant number, since it is smaller than the sum of its proper divisors (15589590624).

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

5770944000 is a wasteful number, since it uses less digits than its factorization.

5770944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5770944000 is about 75966.7295597224. The cubic root of 5770944000 is about 1793.6964695668.

The spelling of 5770944000 in words is "five billion, seven hundred seventy million, nine hundred forty-four thousand".