9974935296000 has 768 divisors, whose sum is σ = 37236766694400. Its totient is φ = 2633969664000.

The previous prime is 9974935295993. The next prime is 9974935296061. The reversal of 9974935296000 is 6925394799.

9974935296000 is a `hidden beast` number, since 9 + 9 + 7 + 49 + 3 + 529 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711928995 + ... + 711943005.

It is an arithmetic number, because the mean of its divisors is an integer number (48485373300).

Almost surely, 2^{9974935296000} is an apocalyptic number.

9974935296000 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 9974935296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618383347200).

9974935296000 is an abundant number, since it is smaller than the sum of its proper divisors (27261831398400).

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

9974935296000 is a wasteful number, since it uses less digits than its factorization.

9974935296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14160 (or 14124 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 9974935296000 in words is "nine trillion, nine hundred seventy-four billion, nine hundred thirty-five million, two hundred ninety-six thousand".