1495793664 has 120 divisors (see below), whose sum is σ = 4334809050. Its totient is φ = 497025024.

The previous prime is 1495793647. The next prime is 1495793669. The reversal of 1495793664 is 4663975941.

1495793664 is a `hidden beast` number, since 1 + 4 + 9 + 579 + 3 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1474560000 + 21233664 = 38400^2 + 4608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1495793664.

It is not an unprimeable number, because it can be changed into a prime (1495793669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4718434 + ... + 4718750.

Almost surely, 2^1495793664 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 1495793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167404525).

1495793664 is an abundant number, since it is smaller than the sum of its proper divisors (2839015386).

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

1495793664 is an frugal number, since it uses more digits than its factorization.

1495793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 322 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 1495793664 is about 38675.4917745075. The cubic root of 1495793664 is about 1143.6432290907.

The spelling of 1495793664 in words is "one billion, four hundred ninety-five million, seven hundred ninety-three thousand, six hundred sixty-four".