5613753600 has 1620 divisors, whose sum is σ = 27532355004. Its totient is φ = 1114767360.

The previous prime is 5613753581. The next prime is 5613753659. The reversal of 5613753600 is 63573165.

It is a happy number.

5613753600 is a `hidden beast` number, since 5 + 613 + 7 + 5 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 199148544 + 5414605056 = 14112^2 + 73584^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 330220792 + ... + 330220808.

Almost surely, 2^5613753600 is an apocalyptic number.

5613753600 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 5613753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766177502).

5613753600 is an abundant number, since it is smaller than the sum of its proper divisors (21918601404).

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

5613753600 is a wasteful number, since it uses less digits than its factorization.

5613753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 5613753600 is about 74924.9864864853. The cubic root of 5613753600 is about 1777.2606097520.

The spelling of 5613753600 in words is "five billion, six hundred thirteen million, seven hundred fifty-three thousand, six hundred".