9974689920 has 960 divisors, whose sum is σ = 41474303640. Its totient is φ = 2269347840.

The previous prime is 9974689889. The next prime is 9974689931. The reversal of 9974689920 is 299864799.

9974689920 = 349³ + 350³ + ... + 483³.

It can be written as a sum of positive squares in 4 ways, for example, as 3460262976 + 6514426944 = 58824^2 + 80712^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×9974689920³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 243285100 + ... + 243285140.

Almost surely, 2^9974689920 is an apocalyptic number.

9974689920 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 9974689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20737151820).

9974689920 is an abundant number, since it is smaller than the sum of its proper divisors (31499613720).

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

9974689920 is a wasteful number, since it uses less digits than its factorization.

9974689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The square root of 9974689920 is about 99873.3694234855. The cubic root of 9974689920 is about 2152.6155239142.

The spelling of 9974689920 in words is "nine billion, nine hundred seventy-four million, six hundred eighty-nine thousand, nine hundred twenty".