364841664 has 112 divisors (see below), whose sum is σ = 1059094656. Its totient is φ = 109926400.

The previous prime is 364841651. The next prime is 364841669. The reversal of 364841664 is 466148463.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (364841669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479044 + ... + 479804.

Almost surely, 2^364841664 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 364841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529547328).

364841664 is an abundant number, since it is smaller than the sum of its proper divisors (694252992).

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

364841664 is a wasteful number, since it uses less digits than its factorization.

364841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1004 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 364841664 is about 19100.8288825381. The cubic root of 364841664 is about 714.5535961929.

The spelling of 364841664 in words is "three hundred sixty-four million, eight hundred forty-one thousand, six hundred sixty-four".