5645930400 has 216 divisors, whose sum is σ = 21719172384. Its totient is φ = 1368691200.

The previous prime is 5645930371. The next prime is 5645930431. The reversal of 5645930400 is 40395465.

It is a happy number.

5645930400 is a `hidden beast` number, since 5 + 64 + 593 + 0 + 4 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 43557 + ... + 114843.

It is an arithmetic number, because the mean of its divisors is an integer number (100551724).

Almost surely, 2^5645930400 is an apocalyptic number.

5645930400 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 5645930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859586192).

5645930400 is an abundant number, since it is smaller than the sum of its proper divisors (16073241984).

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

5645930400 is a wasteful number, since it uses less digits than its factorization.

5645930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71324 (or 71308 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5645930400 is about 75139.4064389652. The cubic root of 5645930400 is about 1780.6497648874.

The spelling of 5645930400 in words is "five billion, six hundred forty-five million, nine hundred thirty thousand, four hundred".