4415036474664 has 160 divisors (see below), whose sum is σ = 12403521123840. Its totient is φ = 1467241776000.

The previous prime is 4415036474659. The next prime is 4415036474713. The reversal of 4415036474664 is 4664746305144.

4415036474664 is a `hidden beast` number, since 4 + 4 + 1 + 503 + 6 + 4 + 74 + 6 + 64 = 666.

It is a super-2 number, since 2×4415036474664² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4415036474664.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 390325569 + ... + 390336879.

It is an arithmetic number, because the mean of its divisors is an integer number (77522007024).

Almost surely, 2^{4415036474664} 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 4415036474664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201760561920).

4415036474664 is an abundant number, since it is smaller than the sum of its proper divisors (7988484649176).

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

4415036474664 is a wasteful number, since it uses less digits than its factorization.

4415036474664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093 (or 13080 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 4415036474664 in words is "four trillion, four hundred fifteen billion, thirty-six million, four hundred seventy-four thousand, six hundred sixty-four".