973678089600 has 576 divisors, whose sum is σ = 3547118952000. Its totient is φ = 254253035520.

The previous prime is 973678089569. The next prime is 973678089613. The reversal of 973678089600 is 6980876379.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 345396991 + ... + 345399809.

It is an arithmetic number, because the mean of its divisors is an integer number (6158192625).

Almost surely, 2^973678089600 is an apocalyptic number.

973678089600 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 973678089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773559476000).

973678089600 is an abundant number, since it is smaller than the sum of its proper divisors (2573440862400).

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

973678089600 is a wasteful number, since it uses less digits than its factorization.

973678089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 973678089600 in words is "nine hundred seventy-three billion, six hundred seventy-eight million, eighty-nine thousand, six hundred".