5645692800 has 576 divisors, whose sum is σ = 22374817920. Its totient is φ = 1344000000.

The previous prime is 5645692771. The next prime is 5645692837. The reversal of 5645692800 is 82965465.

5645692800 is a `hidden beast` number, since 5 + 6 + 4 + 569 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22492675 + ... + 22492925.

It is an arithmetic number, because the mean of its divisors is an integer number (38845170).

Almost surely, 2^5645692800 is an apocalyptic number.

5645692800 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 5645692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11187408960).

5645692800 is an abundant number, since it is smaller than the sum of its proper divisors (16729125120).

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

5645692800 is a wasteful number, since it uses less digits than its factorization.

5645692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5645692800 is about 75137.8253611322. The cubic root of 5645692800 is about 1780.6247859327.

The spelling of 5645692800 in words is "five billion, six hundred forty-five million, six hundred ninety-two thousand, eight hundred".