5649862400 has 432 divisors, whose sum is σ = 17564500800. Its totient is φ = 1751777280.

The previous prime is 5649862397. The next prime is 5649862403. The reversal of 5649862400 is 42689465.

It is an interprime number because it is at equal distance from previous prime (5649862397) and next prime (5649862403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5649862403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51833546 + ... + 51833654.

Almost surely, 2^5649862400 is an apocalyptic number.

5649862400 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 5649862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782250400).

5649862400 is an abundant number, since it is smaller than the sum of its proper divisors (11914638400).

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

5649862400 is a wasteful number, since it uses less digits than its factorization.

5649862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 5649862400 is about 75165.5665847069. The cubic root of 5649862400 is about 1781.0630354292.

The spelling of 5649862400 in words is "five billion, six hundred forty-nine million, eight hundred sixty-two thousand, four hundred".