5037292800 has 648 divisors, whose sum is σ = 19374176640. Its totient is φ = 1293926400.

The previous prime is 5037292751. The next prime is 5037292847. The reversal of 5037292800 is 82927305.

It is a happy number.

5037292800 is a `hidden beast` number, since 5 + 0 + 372 + 9 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63763161 + ... + 63763239.

Almost surely, 2^5037292800 is an apocalyptic number.

5037292800 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 5037292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687088320).

5037292800 is an abundant number, since it is smaller than the sum of its proper divisors (14336883840).

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

5037292800 is an equidigital number, since it uses as much as digits as its factorization.

5037292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

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

The square root of 5037292800 is about 70973.8881561381. Note that the first 3 decimals coincide. The cubic root of 5037292800 is about 1714.2167400820.

The spelling of 5037292800 in words is "five billion, thirty-seven million, two hundred ninety-two thousand, eight hundred".