9974745181440 has 864 divisors, whose sum is σ = 39483572034816. Its totient is φ = 2395396177920.

The previous prime is 9974745181411. The next prime is 9974745181517. The reversal of 9974745181440 is 441815474799.

9974745181440 is a `hidden beast` number, since 9 + 9 + 7 + 4 + 7 + 4 + 5 + 181 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165754237 + ... + 165814403.

It is an arithmetic number, because the mean of its divisors is an integer number (45698578744).

Almost surely, 2^{9974745181440} is an apocalyptic number.

9974745181440 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 9974745181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19741786017408).

9974745181440 is an abundant number, since it is smaller than the sum of its proper divisors (29508826853376).

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

9974745181440 is a wasteful number, since it uses less digits than its factorization.

9974745181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60257 (or 60231 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 9974745181440 in words is "nine trillion, nine hundred seventy-four billion, seven hundred forty-five million, one hundred eighty-one thousand, four hundred forty".