5645606400 has 360 divisors, whose sum is σ = 23093660304. Its totient is φ = 1290240000.

The previous prime is 5645606389. The next prime is 5645606413. The reversal of 5645606400 is 46065465.

It is a happy number.

5645606400 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 802900 + ... + 809900.

Almost surely, 2^5645606400 is an apocalyptic number.

5645606400 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 5645606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546830152).

5645606400 is an abundant number, since it is smaller than the sum of its proper divisors (17448053904).

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

5645606400 is a wasteful number, since it uses less digits than its factorization.

5645606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7018 counting only the distinct ones).

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

The square root of 5645606400 is about 75137.2504154897. The cubic root of 5645606400 is about 1780.6157025027.

The spelling of 5645606400 in words is "five billion, six hundred forty-five million, six hundred six thousand, four hundred".