973348660800 has 336 divisors, whose sum is σ = 3550842662080. Its totient is φ = 259367546880.

The previous prime is 973348660783. The next prime is 973348660901. The reversal of 973348660800 is 8066843379.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64058004 + ... + 64073196.

Almost surely, 2^973348660800 is an apocalyptic number.

973348660800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973348660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775421331040).

973348660800 is an abundant number, since it is smaller than the sum of its proper divisors (2577494001280).

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

973348660800 is a wasteful number, since it uses less digits than its factorization.

973348660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16707 (or 16686 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 973348660800 in words is "nine hundred seventy-three billion, three hundred forty-eight million, six hundred sixty thousand, eight hundred".