4415705006364 has 36 divisors (see below), whose sum is σ = 11162039209776. Its totient is φ = 1471886079168.

The previous prime is 4415705006351. The next prime is 4415705006417. The reversal of 4415705006364 is 4636005075144.

4415705006364 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 7 + 0 + 5 + 0 + 0 + 636 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3091792 + ... + 4288424.

It is an arithmetic number, because the mean of its divisors is an integer number (310056644716).

Almost surely, 2^{4415705006364} is an apocalyptic number.

It is an amenable number.

4415705006364 is an abundant number, since it is smaller than the sum of its proper divisors (6746334203412).

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

4415705006364 is a wasteful number, since it uses less digits than its factorization.

4415705006364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299146 (or 1299141 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 4415705006364 in words is "four trillion, four hundred fifteen billion, seven hundred five million, six thousand, three hundred sixty-four".