5742316800 has 1080 divisors, whose sum is σ = 24841222560. Its totient is φ = 1293926400.

The previous prime is 5742316799. The next prime is 5742316813. The reversal of 5742316800 is 86132475.

5742316800 is a `hidden beast` number, since 574 + 2 + 3 + 1 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 108345574 + ... + 108345626.

It is an arithmetic number, because the mean of its divisors is an integer number (23001132).

Almost surely, 2^5742316800 is an apocalyptic number.

5742316800 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 5742316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420611280).

5742316800 is an abundant number, since it is smaller than the sum of its proper divisors (19098905760).

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

5742316800 is a wasteful number, since it uses less digits than its factorization.

5742316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5742316800 is about 75778.0759850763. The cubic root of 5742316800 is about 1790.7256298810.

The spelling of 5742316800 in words is "five billion, seven hundred forty-two million, three hundred sixteen thousand, eight hundred".