5599641600 has 810 divisors, whose sum is σ = 24086104224. Its totient is φ = 1238630400.

The previous prime is 5599641557. The next prime is 5599641613. The reversal of 5599641600 is 61469955.

It is a happy number.

5599641600 is a `hidden beast` number, since 559 + 96 + 4 + 1 + 6 + 0 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 180633585 + ... + 180633615.

Almost surely, 2^5599641600 is an apocalyptic number.

5599641600 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 5599641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043052112).

5599641600 is an abundant number, since it is smaller than the sum of its proper divisors (18486462624).

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

5599641600 is a wasteful number, since it uses less digits than its factorization.

5599641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5599641600 is about 74830.7530364355. The cubic root of 5599641600 is about 1775.7701187729.

The spelling of 5599641600 in words is "five billion, five hundred ninety-nine million, six hundred forty-one thousand, six hundred".