5730616800 has 216 divisors, whose sum is σ = 20486282544. Its totient is φ = 1507092480.

The previous prime is 5730616777. The next prime is 5730616807. The reversal of 5730616800 is 86160375.

5730616800 is a `hidden beast` number, since 5 + 7 + 30 + 616 + 8 + 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 not an unprimeable number, because it can be changed into a prime (5730616807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 520149 + ... + 531051.

Almost surely, 2^5730616800 is an apocalyptic number.

5730616800 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 5730616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10243141272).

5730616800 is an abundant number, since it is smaller than the sum of its proper divisors (14755665744).

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

5730616800 is a wasteful number, since it uses less digits than its factorization.

5730616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5730616800 is about 75700.8375118796. The cubic root of 5730616800 is about 1789.5085987117.

The spelling of 5730616800 in words is "five billion, seven hundred thirty million, six hundred sixteen thousand, eight hundred".