9329954844672 has 3276 divisors, whose sum is σ = 39093636270528. Its totient is φ = 2207239372800.

The previous prime is 9329954844647. The next prime is 9329954844731. The reversal of 9329954844672 is 2764484599239.

9329954844672 is a `hidden beast` number, since 9 + 3 + 2 + 9 + 9 + 548 + 4 + 4 + 6 + 72 = 666.

It is a super-3 number, since 3×9329954844672³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

Its product of digits (940584960) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 9329954844672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 300966285297 + ... + 300966285327.

Almost surely, 2^{9329954844672} 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 9329954844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19546818135264).

9329954844672 is an abundant number, since it is smaller than the sum of its proper divisors (29763681425856).

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

9329954844672 is a wasteful number, since it uses less digits than its factorization.

9329954844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 9329954844672 in words is "nine trillion, three hundred twenty-nine billion, nine hundred fifty-four million, eight hundred forty-four thousand, six hundred seventy-two".