5641668900 has 216 divisors, whose sum is σ = 21098545440. Its totient is φ = 1289494080.

The previous prime is 5641668881. The next prime is 5641668947. The reversal of 5641668900 is 98661465.

5641668900 is a `hidden beast` number, since 564 + 1 + 6 + 6 + 89 + 0 + 0 = 666.

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

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, 110979 + ... + 153621.

Almost surely, 2^5641668900 is an apocalyptic number.

5641668900 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 5641668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549272720).

5641668900 is an abundant number, since it is smaller than the sum of its proper divisors (15456876540).

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

5641668900 is a wasteful number, since it uses less digits than its factorization.

5641668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42680 (or 42660 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5641668900 is about 75111.0437951704. The cubic root of 5641668900 is about 1780.2016457162.

It can be divided in two parts, 56416 and 68900, that added together give a square (125316 = 354²).

The spelling of 5641668900 in words is "five billion, six hundred forty-one million, six hundred sixty-eight thousand, nine hundred".