5716334400 has 336 divisors, whose sum is σ = 21792712320. Its totient is φ = 1284710400.

The previous prime is 5716334399. The next prime is 5716334413. The reversal of 5716334400 is 44336175.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2048206 + ... + 2050994.

Almost surely, 2^5716334400 is an apocalyptic number.

5716334400 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 5716334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896356160).

5716334400 is an abundant number, since it is smaller than the sum of its proper divisors (16076377920).

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

5716334400 is a wasteful number, since it uses less digits than its factorization.

5716334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 5716334400 is about 75606.4441697928. Note that the first 3 decimals coincide. The cubic root of 5716334400 is about 1788.0206995286.

The spelling of 5716334400 in words is "five billion, seven hundred sixteen million, three hundred thirty-four thousand, four hundred".