5644094400 has 756 divisors, whose sum is σ = 24622155480. Its totient is φ = 1219276800.

The previous prime is 5644094383. The next prime is 5644094411. The reversal of 5644094400 is 44904465.

5644094400 is a `hidden beast` number, since 5 + 644 + 0 + 9 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×5644094400² = 63711603192222720000, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 13406190 + ... + 13406610.

Almost surely, 2^5644094400 is an apocalyptic number.

5644094400 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 5644094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12311077740).

5644094400 is an abundant number, since it is smaller than the sum of its proper divisors (18978061080).

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

5644094400 is a wasteful number, since it uses less digits than its factorization.

5644094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 457 counting only the distinct ones).

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

The square root of 5644094400 is about 75127.1881544891. The cubic root of 5644094400 is about 1780.4567274735.

Adding to 5644094400 its reverse (44904465), we get a palindrome (5688998865).

The spelling of 5644094400 in words is "five billion, six hundred forty-four million, ninety-four thousand, four hundred".