9974916672 has 168 divisors, whose sum is σ = 31091794560. Its totient is φ = 2813690880.

The previous prime is 9974916671. The next prime is 9974916689. The reversal of 9974916672 is 2766194799.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×9974916672² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9974916671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736522 + ... + 749942.

Almost surely, 2^9974916672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9974916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545897280).

9974916672 is an abundant number, since it is smaller than the sum of its proper divisors (21116877888).

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

9974916672 is a wasteful number, since it uses less digits than its factorization.

9974916672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13529 (or 13512 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 60.

The square root of 9974916672 is about 99874.5046145411. The cubic root of 9974916672 is about 2152.6318354046.

The spelling of 9974916672 in words is "nine billion, nine hundred seventy-four million, nine hundred sixteen thousand, six hundred seventy-two".