5601623360 has 112 divisors (see below), whose sum is σ = 13793083920. Its totient is φ = 2165391360.

The previous prime is 5601623353. The next prime is 5601623431. The reversal of 5601623360 is 633261065.

It can be written as a sum of positive squares in 8 ways, for example, as 40043584 + 5561579776 = 6328^2 + 74576^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428122 + ... + 1432038.

It is an arithmetic number, because the mean of its divisors is an integer number (123152535).

Almost surely, 2^5601623360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5601623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896541960).

5601623360 is an abundant number, since it is smaller than the sum of its proper divisors (8191460560).

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

5601623360 is a wasteful number, since it uses less digits than its factorization.

5601623360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 5601623360 is about 74843.9934797710. The cubic root of 5601623360 is about 1775.9795806975.

The spelling of 5601623360 in words is "five billion, six hundred one million, six hundred twenty-three thousand, three hundred sixty".