9804479811672 has 768 divisors, whose sum is σ = 32662586880000. Its totient is φ = 2426604687360.

The previous prime is 9804479811661. The next prime is 9804479811677. The reversal of 9804479811672 is 2761189744089.

It is a super-2 number, since 2×9804479811672² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9804479811677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6540679579 + ... + 6540681077.

It is an arithmetic number, because the mean of its divisors is an integer number (42529410000).

Almost surely, 2^{9804479811672} 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 9804479811672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331293440000).

9804479811672 is an abundant number, since it is smaller than the sum of its proper divisors (22858107068328).

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

9804479811672 is a wasteful number, since it uses less digits than its factorization.

9804479811672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 9804479811672 in words is "nine trillion, eight hundred four billion, four hundred seventy-nine million, eight hundred eleven thousand, six hundred seventy-two".