5645405600 has 72 divisors (see below), whose sum is σ = 13910859648. Its totient is φ = 2237024000.

The previous prime is 5645405599. The next prime is 5645405603. The reversal of 5645405600 is 65045465.

It is a super-2 number, since 2×5645405600² = 63741208777022720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5645405603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52625 + ... + 118575.

It is an arithmetic number, because the mean of its divisors is an integer number (193206384).

Almost surely, 2^5645405600 is an apocalyptic number.

5645405600 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 5645405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955429824).

5645405600 is an abundant number, since it is smaller than the sum of its proper divisors (8265454048).

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

5645405600 is a wasteful number, since it uses less digits than its factorization.

5645405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66078 (or 66065 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 5645405600 is about 75135.9141822338. The cubic root of 5645405600 is about 1780.5945915805.

The spelling of 5645405600 in words is "five billion, six hundred forty-five million, four hundred five thousand, six hundred".