5645899005264 has 480 divisors, whose sum is σ = 19394071557120. Its totient is φ = 1496538021888.

The previous prime is 5645899005221. The next prime is 5645899005287. The reversal of 5645899005264 is 4625009985465.

It is a happy number.

5645899005264 is a `hidden beast` number, since 56 + 4 + 58 + 9 + 9 + 0 + 0 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 911066614 + ... + 911072810.

It is an arithmetic number, because the mean of its divisors is an integer number (40404315744).

Almost surely, 2^{5645899005264} 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 5645899005264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9697035778560).

5645899005264 is an abundant number, since it is smaller than the sum of its proper divisors (13748172551856).

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

5645899005264 is a wasteful number, since it uses less digits than its factorization.

5645899005264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 5645899005264 in words is "five trillion, six hundred forty-five billion, eight hundred ninety-nine million, five thousand, two hundred sixty-four".