5037832800 has 1152 divisors, whose sum is σ = 24568427520. Its totient is φ = 962150400.

The previous prime is 5037832771. The next prime is 5037832831. The reversal of 5037832800 is 82387305.

5037832800 is a `hidden beast` number, since 5 + 0 + 378 + 3 + 280 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21621484 + ... + 21621716.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 2^5037832800 is an apocalyptic number.

5037832800 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 5037832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284213760).

5037832800 is an abundant number, since it is smaller than the sum of its proper divisors (19530594720).

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

5037832800 is a wasteful number, since it uses less digits than its factorization.

5037832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

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

The square root of 5037832800 is about 70977.6922701774. The cubic root of 5037832800 is about 1714.2779928224.

The spelling of 5037832800 in words is "five billion, thirty-seven million, eight hundred thirty-two thousand, eight hundred".