9998672074272 has 1152 divisors, whose sum is σ = 35770152096000. Its totient is φ = 2706593218560.

The previous prime is 9998672074243. The next prime is 9998672074277. The reversal of 9998672074272 is 2724702768999.

9998672074272 is a `hidden beast` number, since 9 + 9 + 98 + 67 + 207 + 4 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9998672074272.

It is not an unprimeable number, because it can be changed into a prime (9998672074277) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9114559228 + ... + 9114560324.

It is an arithmetic number, because the mean of its divisors is an integer number (31050479250).

Almost surely, 2^{9998672074272} 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 9998672074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17885076048000).

9998672074272 is an abundant number, since it is smaller than the sum of its proper divisors (25771480021728).

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

9998672074272 is a wasteful number, since it uses less digits than its factorization.

9998672074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 9998672074272 in words is "nine trillion, nine hundred ninety-eight billion, six hundred seventy-two million, seventy-four thousand, two hundred seventy-two".