5973617664 has 528 divisors, whose sum is σ = 21254737920. Its totient is φ = 1579253760.

The previous prime is 5973617659. The next prime is 5973617669. The reversal of 5973617664 is 4667163795.

It is a happy number.

5973617664 is a `hidden beast` number, since 597 + 36 + 17 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5973617659) and next prime (5973617669).

Its product of digits (5715360) is a multiple of the sum of its prime factors (196).

It is a self number, because there is not a number n which added to its sum of digits gives 5973617664.

It is not an unprimeable number, because it can be changed into a prime (5973617669) 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, 57996237 + ... + 57996339.

Almost surely, 2^5973617664 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 5973617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10627368960).

5973617664 is an abundant number, since it is smaller than the sum of its proper divisors (15281120256).

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

5973617664 is a wasteful number, since it uses less digits than its factorization.

5973617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 5973617664 is about 77289.1820632099. The cubic root of 5973617664 is about 1814.4533526672.

The spelling of 5973617664 in words is "five billion, nine hundred seventy-three million, six hundred seventeen thousand, six hundred sixty-four".