8957200980672 has 672 divisors, whose sum is σ = 30094738652160. Its totient is φ = 2494644387840.

The previous prime is 8957200980613. The next prime is 8957200980691. The reversal of 8957200980672 is 2760890027598.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8210082847 + ... + 8210083937.

It is an arithmetic number, because the mean of its divisors is an integer number (44783837280).

Almost surely, 2^{8957200980672} 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 8957200980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047369326080).

8957200980672 is an abundant number, since it is smaller than the sum of its proper divisors (21137537671488).

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

8957200980672 is a wasteful number, since it uses less digits than its factorization.

8957200980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 8957200980672 in words is "eight trillion, nine hundred fifty-seven billion, two hundred million, nine hundred eighty thousand, six hundred seventy-two".