5622645600 has 864 divisors, whose sum is σ = 24022462464. Its totient is φ = 1219276800.

The previous prime is 5622645583. The next prime is 5622645607. The reversal of 5622645600 is 65462265.

5622645600 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 6 + 45 + 600 = 666.

It is a super-2 number, since 2×5622645600² = 63228287086398720000, 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 not an unprimeable number, because it can be changed into a prime (5622645607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44272737 + ... + 44272863.

It is an arithmetic number, because the mean of its divisors is an integer number (27803776).

Almost surely, 2^5622645600 is an apocalyptic number.

5622645600 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 5622645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011231232).

5622645600 is an abundant number, since it is smaller than the sum of its proper divisors (18399816864).

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

5622645600 is a wasteful number, since it uses less digits than its factorization.

5622645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5622645600 is about 74984.3023572267. The cubic root of 5622645600 is about 1778.1984887411.

The spelling of 5622645600 in words is "five billion, six hundred twenty-two million, six hundred forty-five thousand, six hundred".