5624963481600 has 900 divisors, whose sum is σ = 22066101640044. Its totient is φ = 1411613982720.

The previous prime is 5624963481547. The next prime is 5624963481647. The reversal of 5624963481600 is 61843694265.

5624963481600 is a `hidden beast` number, since 5 + 6 + 2 + 49 + 63 + 481 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 241969545216 + 5382993936384 = 491904^2 + 2320128^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 564014214 + ... + 564024186.

Almost surely, 2^{5624963481600} is an apocalyptic number.

5624963481600 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 5624963481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11033050820022).

5624963481600 is an abundant number, since it is smaller than the sum of its proper divisors (16441138158444).

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

5624963481600 is an equidigital number, since it uses as much as digits as its factorization.

5624963481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10040 (or 10000 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 5624963481600 in words is "five trillion, six hundred twenty-four billion, nine hundred sixty-three million, four hundred eighty-one thousand, six hundred".