5644625011200 has 720 divisors, whose sum is σ = 24101205147360. Its totient is φ = 1290196131840.

The previous prime is 5644625011117. The next prime is 5644625011217. The reversal of 5644625011200 is 21105264465.

5644625011200 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 625 + 0 + 1 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16767739 + ... + 17101061.

It is an arithmetic number, because the mean of its divisors is an integer number (33473896038).

Almost surely, 2^{5644625011200} is an apocalyptic number.

5644625011200 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 5644625011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050602573680).

5644625011200 is an abundant number, since it is smaller than the sum of its proper divisors (18456580136160).

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

5644625011200 is a wasteful number, since it uses less digits than its factorization.

5644625011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333374 (or 333340 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5644625011200 in words is "five trillion, six hundred forty-four billion, six hundred twenty-five million, eleven thousand, two hundred".