5641876800 has 588 divisors, whose sum is σ = 23822188576. Its totient is φ = 1287705600.

The previous prime is 5641876771. The next prime is 5641876859. The reversal of 5641876800 is 86781465.

It is a happy number.

5641876800 is a `hidden beast` number, since 564 + 1 + 8 + 7 + 6 + 80 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 8164455 + ... + 8165145.

Almost surely, 2^5641876800 is an apocalyptic number.

5641876800 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 5641876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911094288).

5641876800 is an abundant number, since it is smaller than the sum of its proper divisors (18180311776).

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

5641876800 is an equidigital number, since it uses as much as digits as its factorization.

5641876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5641876800 is about 75112.4277333651. The cubic root of 5641876800 is about 1780.2235127313.

The spelling of 5641876800 in words is "five billion, six hundred forty-one million, eight hundred seventy-six thousand, eight hundred".