5037984000 has 1152 divisors, whose sum is σ = 22958208000. Its totient is φ = 1083801600.

The previous prime is 5037983999. The next prime is 5037984067. The reversal of 5037984000 is 4897305.

5037984000 is a `hidden beast` number, since 503 + 79 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 296351992 + ... + 296352008.

It is an arithmetic number, because the mean of its divisors is an integer number (19929000).

Almost surely, 2^5037984000 is an apocalyptic number.

5037984000 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 5037984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479104000).

5037984000 is an abundant number, since it is smaller than the sum of its proper divisors (17920224000).

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

5037984000 is an equidigital number, since it uses as much as digits as its factorization.

5037984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

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

The square root of 5037984000 is about 70978.7573855728. The cubic root of 5037984000 is about 1714.2951428053.

The spelling of 5037984000 in words is "five billion, thirty-seven million, nine hundred eighty-four thousand".