973810320000 has 960 divisors, whose sum is σ = 3982042088640. Its totient is φ = 209448960000.

The previous prime is 973810319959. The next prime is 973810320001. The reversal of 973810320000 is 23018379.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (973810320001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 199917565 + ... + 199922435.

It is an arithmetic number, because the mean of its divisors is an integer number (4147960509).

Almost surely, 2^973810320000 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 973810320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991021044320).

973810320000 is an abundant number, since it is smaller than the sum of its proper divisors (3008231768640).

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

973810320000 is a wasteful number, since it uses less digits than its factorization.

973810320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

Adding to 973810320000 its reverse (23018379), we get a palindrome (973833338379).

The spelling of 973810320000 in words is "nine hundred seventy-three billion, eight hundred ten million, three hundred twenty thousand".