3645253602864 has 240 divisors, whose sum is σ = 10403708271840. Its totient is φ = 1191208550400.

The previous prime is 3645253602829. The next prime is 3645253602919. The reversal of 3645253602864 is 4682063525463.

It is a happy number.

3645253602864 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 25 + 3 + 602 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3645253602864.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2276859664 + ... + 2276861264.

It is an arithmetic number, because the mean of its divisors is an integer number (43348784466).

Almost surely, 2^{3645253602864} 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 3645253602864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201854135920).

3645253602864 is an abundant number, since it is smaller than the sum of its proper divisors (6758454668976).

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

3645253602864 is a wasteful number, since it uses less digits than its factorization.

3645253602864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 3645253602864 in words is "three trillion, six hundred forty-five billion, two hundred fifty-three million, six hundred two thousand, eight hundred sixty-four".