96973840800 has 432 divisors, whose sum is σ = 353419754688. Its totient is φ = 25004851200.

The previous prime is 96973840793. The next prime is 96973840811. The reversal of 96973840800 is 804837969.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31887280 + ... + 31890320.

It is an arithmetic number, because the mean of its divisors is an integer number (818101284).

Almost surely, 2^96973840800 is an apocalyptic number.

96973840800 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 96973840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176709877344).

96973840800 is an abundant number, since it is smaller than the sum of its proper divisors (256445913888).

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

96973840800 is a wasteful number, since it uses less digits than its factorization.

96973840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 96973840800 in words is "ninety-six billion, nine hundred seventy-three million, eight hundred forty thousand, eight hundred".