9974321280000 has 2640 divisors, whose sum is σ = 46001016162816. Its totient is φ = 2020515840000.

The previous prime is 9974321279953. The next prime is 9974321280017. The reversal of 9974321280000 is 821234799.

9974321280000 is a `hidden beast` number, since 9 + 97 + 432 + 128 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19071359739 + ... + 19071360261.

Almost surely, 2^{9974321280000} is an apocalyptic number.

9974321280000 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 9974321280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23000508081408).

9974321280000 is an abundant number, since it is smaller than the sum of its proper divisors (36026694882816).

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

9974321280000 is a wasteful number, since it uses less digits than its factorization.

9974321280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 9974321280000 in words is "nine trillion, nine hundred seventy-four billion, three hundred twenty-one million, two hundred eighty thousand".