973833670656 has 1872 divisors, whose sum is σ = 4005666354240. Its totient is φ = 230385254400.

The previous prime is 973833670619. The next prime is 973833670727. The reversal of 973833670656 is 656076338379.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 973833670593 and 973833670602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31413989361 + ... + 31413989391.

Almost surely, 2^973833670656 is an apocalyptic number.

973833670656 is a gapful number since it is divisible by the number (96) 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 973833670656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002833177120).

973833670656 is an abundant number, since it is smaller than the sum of its proper divisors (3031832683584).

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

973833670656 is a wasteful number, since it uses less digits than its factorization.

973833670656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 973833670656 in words is "nine hundred seventy-three billion, eight hundred thirty-three million, six hundred seventy thousand, six hundred fifty-six".