5645055464400 has 480 divisors, whose sum is σ = 19826331033600. Its totient is φ = 1361620684800.

The previous prime is 5645055464387. The next prime is 5645055464401. The reversal of 5645055464400 is 44645505465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5645055464400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5645055464401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2521238481 + ... + 2521240719.

It is an arithmetic number, because the mean of its divisors is an integer number (41304856320).

Almost surely, 2^{5645055464400} is an apocalyptic number.

5645055464400 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 5645055464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9913165516800).

5645055464400 is an abundant number, since it is smaller than the sum of its proper divisors (14181275569200).

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

5645055464400 is a wasteful number, since it uses less digits than its factorization.

5645055464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 5645055464400 in words is "five trillion, six hundred forty-five billion, fifty-five million, four hundred sixty-four thousand, four hundred".