5640556800 has 432 divisors, whose sum is σ = 19872978048. Its totient is φ = 1405747200.

The previous prime is 5640556793. The next prime is 5640556877. The reversal of 5640556800 is 86550465.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23404680 + ... + 23404920.

It is an arithmetic number, because the mean of its divisors is an integer number (46002264).

Almost surely, 2^5640556800 is an apocalyptic number.

5640556800 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 5640556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936489024).

5640556800 is an abundant number, since it is smaller than the sum of its proper divisors (14232421248).

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

5640556800 is a wasteful number, since it uses less digits than its factorization.

5640556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 5640556800 is about 75103.6403911288. The cubic root of 5640556800 is about 1780.0846654169.

The spelling of 5640556800 in words is "five billion, six hundred forty million, five hundred fifty-six thousand, eight hundred".