5617627700 has 54 divisors (see below), whose sum is σ = 12625289586. Its totient is φ = 2169534080.

The previous prime is 5617627699. The next prime is 5617627753. The reversal of 5617627700 is 77267165.

It can be written as a sum of positive squares in 9 ways, for example, as 2125763236 + 3491864464 = 46106^2 + 59092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50702 + ... + 117498.

It is an arithmetic number, because the mean of its divisors is an integer number (233801659).

Almost surely, 2^5617627700 is an apocalyptic number.

5617627700 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 5617627700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6312644793).

5617627700 is an abundant number, since it is smaller than the sum of its proper divisors (7007661886).

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

5617627700 is a wasteful number, since it uses less digits than its factorization.

5617627700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66869 (or 66833 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 41.

The square root of 5617627700 is about 74950.8352188286. The cubic root of 5617627700 is about 1777.6693500566.

The spelling of 5617627700 in words is "five billion, six hundred seventeen million, six hundred twenty-seven thousand, seven hundred".