5624942400 has 1344 divisors, whose sum is σ = 27212544000. Its totient is φ = 1094860800.

The previous prime is 5624942377. The next prime is 5624942443. The reversal of 5624942400 is 42494265.

5624942400 is a `hidden beast` number, since 5 + 6 + 249 + 4 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 63201556 + ... + 63201644.

Almost surely, 2^5624942400 is an apocalyptic number.

5624942400 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 5624942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606272000).

5624942400 is an abundant number, since it is smaller than the sum of its proper divisors (21587601600).

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

5624942400 is a wasteful number, since it uses less digits than its factorization.

5624942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5624942400 is about 74999.6159990170. The cubic root of 5624942400 is about 1778.4405817931.

The spelling of 5624942400 in words is "five billion, six hundred twenty-four million, nine hundred forty-two thousand, four hundred".