9974272000 has 624 divisors, whose sum is σ = 32629798656. Its totient is φ = 2973696000.

The previous prime is 9974271997. The next prime is 9974272013. The reversal of 9974272000 is 2724799.

It is a super-2 number, since 2×9974272000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433663989 + ... + 433664011.

It is an arithmetic number, because the mean of its divisors is an integer number (52291344).

Almost surely, 2^9974272000 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 9974272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314899328).

9974272000 is an abundant number, since it is smaller than the sum of its proper divisors (22655526656).

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

9974272000 is a wasteful number, since it uses less digits than its factorization.

9974272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 9974272000 is about 99871.2771521422. The cubic root of 9974272000 is about 2152.5854600342.

Adding to 9974272000 its reverse (2724799), we get a palindrome (9976996799).

The spelling of 9974272000 in words is "nine billion, nine hundred seventy-four million, two hundred seventy-two thousand".