5716368000 has 768 divisors, whose sum is σ = 24127683840. Its totient is φ = 1269964800.

The previous prime is 5716367999. The next prime is 5716368017. The reversal of 5716368000 is 8636175.

5716368000 is a `hidden beast` number, since 571 + 6 + 3 + 6 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×5716368000² = 65353726222848000000, 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53423947 + ... + 53424053.

It is an arithmetic number, because the mean of its divisors is an integer number (31416255).

Almost surely, 2^5716368000 is an apocalyptic number.

5716368000 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 5716368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12063841920).

5716368000 is an abundant number, since it is smaller than the sum of its proper divisors (18411315840).

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

5716368000 is a wasteful number, since it uses less digits than its factorization.

5716368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

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

The square root of 5716368000 is about 75606.6663727478. Note that the first 3 decimals coincide. The cubic root of 5716368000 is about 1788.0242027864.

The spelling of 5716368000 in words is "five billion, seven hundred sixteen million, three hundred sixty-eight thousand".