4496185764 has 144 divisors (see below), whose sum is σ = 13737185280. Its totient is φ = 1211267520.

The previous prime is 4496185763. The next prime is 4496185777. The reversal of 4496185764 is 4675816944.

4496185764 is a `hidden beast` number, since 4 + 4 + 9 + 61 + 8 + 576 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4496185764.

It is not an unprimeable number, because it can be changed into a prime (4496185763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065619 + ... + 1069829.

It is an arithmetic number, because the mean of its divisors is an integer number (95397120).

Almost surely, 2^4496185764 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 4496185764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868592640).

4496185764 is an abundant number, since it is smaller than the sum of its proper divisors (9240999516).

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

4496185764 is a wasteful number, since it uses less digits than its factorization.

4496185764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4465 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4496185764 is about 67053.6036615483. The cubic root of 4496185764 is about 1650.4970359358.

The spelling of 4496185764 in words is "four billion, four hundred ninety-six million, one hundred eighty-five thousand, seven hundred sixty-four".