973263667200 has 816 divisors, whose sum is σ = 3594860199936. Its totient is φ = 230319718400.

The previous prime is 973263667199. The next prime is 973263667231. The reversal of 973263667200 is 2766362379.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2541158209 + ... + 2541158591.

Almost surely, 2^973263667200 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 973263667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797430099968).

973263667200 is an abundant number, since it is smaller than the sum of its proper divisors (2621596532736).

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

973263667200 is a wasteful number, since it uses less digits than its factorization.

973263667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 51.

The spelling of 973263667200 in words is "nine hundred seventy-three billion, two hundred sixty-three million, six hundred sixty-seven thousand, two hundred".