973665893200 has 960 divisors, whose sum is σ = 3313067950080. Its totient is φ = 265171968000.

The previous prime is 973665893149. The next prime is 973665893209. The reversal of 973665893200 is 2398566379.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973665893209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 583381966 + ... + 583383634.

It is an arithmetic number, because the mean of its divisors is an integer number (3451112448).

Almost surely, 2^973665893200 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 973665893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656533975040).

973665893200 is an abundant number, since it is smaller than the sum of its proper divisors (2339402056880).

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

973665893200 is a wasteful number, since it uses less digits than its factorization.

973665893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 973665893200 in words is "nine hundred seventy-three billion, six hundred sixty-five million, eight hundred ninety-three thousand, two hundred".