5739916800 has 480 divisors, whose sum is σ = 20288201472. Its totient is φ = 1427374080.

The previous prime is 5739916769. The next prime is 5739916813. The reversal of 5739916800 is 86199375.

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

It is a super-3 number, since 3×5739916800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5739916800.

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, 59174352 + ... + 59174448.

Almost surely, 2^5739916800 is an apocalyptic number.

5739916800 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 5739916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10144100736).

5739916800 is an abundant number, since it is smaller than the sum of its proper divisors (14548284672).

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

5739916800 is a wasteful number, since it uses less digits than its factorization.

5739916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 5739916800 is about 75762.2386152891. The cubic root of 5739916800 is about 1790.4761173267.

The spelling of 5739916800 in words is "five billion, seven hundred thirty-nine million, nine hundred sixteen thousand, eight hundred".