973665605664 has 216 divisors, whose sum is σ = 2941590581748. Its totient is φ = 304439623680.

The previous prime is 973665605617. The next prime is 973665605677. The reversal of 973665605664 is 466506566379.

973665605664 is a `hidden beast` number, since 9 + 7 + 3 + 6 + 6 + 5 + 60 + 566 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 387356864400 + 586308741264 = 622380^2 + 765708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1518978784 + ... + 1518979424.

Almost surely, 2^973665605664 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 973665605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470795290874).

973665605664 is an abundant number, since it is smaller than the sum of its proper divisors (1967924976084).

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

973665605664 is a wasteful number, since it uses less digits than its factorization.

973665605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 973665605664 in words is "nine hundred seventy-three billion, six hundred sixty-five million, six hundred five thousand, six hundred sixty-four".