5337446400 has 1008 divisors, whose sum is σ = 23310148680. Its totient is φ = 1194393600.

The previous prime is 5337446363. The next prime is 5337446417. The reversal of 5337446400 is 46447335.

It is a happy number.

5337446400 is a `hidden beast` number, since 5 + 3 + 3 + 7 + 4 + 4 + 640 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 410572794 + ... + 410572806.

Almost surely, 2^5337446400 is an apocalyptic number.

5337446400 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 5337446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11655074340).

5337446400 is an abundant number, since it is smaller than the sum of its proper divisors (17972702280).

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

5337446400 is a wasteful number, since it uses less digits than its factorization.

5337446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 5337446400 is about 73057.8291492431. The cubic root of 5337446400 is about 1747.6099509002.

The spelling of 5337446400 in words is "five billion, three hundred thirty-seven million, four hundred forty-six thousand, four hundred".