744092561664 has 81 divisors (see below), whose sum is σ = 2145521682759. Its totient is φ = 248017052160.

The previous prime is 744092561633. The next prime is 744092561669. The reversal of 744092561664 is 466165290447.

The square root of 744092561664 is 862608.

It is a perfect power (a square), and thus also a powerful number.

744092561664 is a `hidden beast` number, since 7 + 440 + 92 + 56 + 1 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 744092561664.

It is not an unprimeable number, because it can be changed into a prime (744092561669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41396199 + ... + 41414169.

Almost surely, 2^744092561664 is an apocalyptic number.

744092561664 is the 862608-th square number.

It is an amenable number.

744092561664 is an abundant number, since it is smaller than the sum of its proper divisors (1401429121095).

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

744092561664 is an frugal number, since it uses more digits than its factorization.

744092561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35964 (or 17976 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 744092561664 in words is "seven hundred forty-four billion, ninety-two million, five hundred sixty-one thousand, six hundred sixty-four".