5649014400 has 384 divisors, whose sum is σ = 19533571200. Its totient is φ = 1433026560.

The previous prime is 5649014377. The next prime is 5649014443. The reversal of 5649014400 is 44109465.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5649014400² = 63822727382814720000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 28675102 + ... + 28675298.

It is an arithmetic number, because the mean of its divisors is an integer number (50868675).

Almost surely, 2^5649014400 is an apocalyptic number.

5649014400 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 5649014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9766785600).

5649014400 is an abundant number, since it is smaller than the sum of its proper divisors (13884556800).

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

5649014400 is a wasteful number, since it uses less digits than its factorization.

5649014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5649014400 is about 75159.9254922462. The cubic root of 5649014400 is about 1780.9739231101.

The spelling of 5649014400 in words is "five billion, six hundred forty-nine million, fourteen thousand, four hundred".