5639680800 has 432 divisors, whose sum is σ = 21689314920. Its totient is φ = 1370603520.

The previous prime is 5639680771. The next prime is 5639680801. The reversal of 5639680800 is 80869365.

5639680800 is a `hidden beast` number, since 5 + 639 + 6 + 8 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 328769424 + 5310911376 = 18132^2 + 72876^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5639680801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8330062 + ... + 8330738.

Almost surely, 2^5639680800 is an apocalyptic number.

5639680800 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 5639680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844657460).

5639680800 is an abundant number, since it is smaller than the sum of its proper divisors (16049634120).

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

5639680800 is a wasteful number, since it uses less digits than its factorization.

5639680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 789 counting only the distinct ones).

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

The square root of 5639680800 is about 75097.8082236759. The cubic root of 5639680800 is about 1779.9925093318.

The spelling of 5639680800 in words is "five billion, six hundred thirty-nine million, six hundred eighty thousand, eight hundred".