5035744800 has 432 divisors, whose sum is σ = 18901602720. Its totient is φ = 1257984000.

The previous prime is 5035744799. The next prime is 5035744823. The reversal of 5035744800 is 84475305.

5035744800 is a `hidden beast` number, since 5 + 0 + 3 + 574 + 4 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 17920660 + ... + 17920940.

It is an arithmetic number, because the mean of its divisors is an integer number (43753710).

Almost surely, 2^5035744800 is an apocalyptic number.

5035744800 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 5035744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450801360).

5035744800 is an abundant number, since it is smaller than the sum of its proper divisors (13865857920).

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

5035744800 is a wasteful number, since it uses less digits than its factorization.

5035744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5035744800 is about 70962.9818990155. The cubic root of 5035744800 is about 1714.0411246281.

The spelling of 5035744800 in words is "five billion, thirty-five million, seven hundred forty-four thousand, eight hundred".