8289946700672 has 384 divisors, whose sum is σ = 20932283736000. Its totient is φ = 3241155133440.

The previous prime is 8289946700669. The next prime is 8289946700743. The reversal of 8289946700672 is 2760076499828.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7902713204 + ... + 7902714252.

Almost surely, 2^{8289946700672} 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 8289946700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10466141868000).

8289946700672 is an abundant number, since it is smaller than the sum of its proper divisors (12642337035328).

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

8289946700672 is a wasteful number, since it uses less digits than its factorization.

8289946700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 68.

The spelling of 8289946700672 in words is "eight trillion, two hundred eighty-nine billion, nine hundred forty-six million, seven hundred thousand, six hundred seventy-two".