4415820275664 has 360 divisors, whose sum is σ = 15620603431680. Its totient is φ = 1156701772800.

The previous prime is 4415820275651. The next prime is 4415820275701. The reversal of 4415820275664 is 4665720285144.

4415820275664 is a `hidden beast` number, since 4 + 4 + 1 + 58 + 2 + 0 + 27 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4415820275664.

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 71 ways as a sum of consecutive naturals, for example, 3624724 + ... + 4687244.

It is an arithmetic number, because the mean of its divisors is an integer number (43390565088).

Almost surely, 2^{4415820275664} 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 4415820275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810301715840).

4415820275664 is an abundant number, since it is smaller than the sum of its proper divisors (11204783156016).

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

4415820275664 is a wasteful number, since it uses less digits than its factorization.

4415820275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062599 (or 1062583 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 4415820275664 in words is "four trillion, four hundred fifteen billion, eight hundred twenty million, two hundred seventy-five thousand, six hundred sixty-four".