8209847964672 has 880 divisors, whose sum is σ = 27243826283520. Its totient is φ = 2450895667200.

The previous prime is 8209847964667. The next prime is 8209847964697. The reversal of 8209847964672 is 2764697489028.

8209847964672 is a `hidden beast` number, since 8 + 2 + 0 + 98 + 4 + 79 + 6 + 467 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8209847964672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2666399229 + ... + 2666402307.

It is an arithmetic number, because the mean of its divisors is an integer number (30958893504).

Almost surely, 2^{8209847964672} 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 8209847964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621913141760).

8209847964672 is an abundant number, since it is smaller than the sum of its proper divisors (19033978318848).

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

8209847964672 is a wasteful number, since it uses less digits than its factorization.

8209847964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 8209847964672 in words is "eight trillion, two hundred nine billion, eight hundred forty-seven million, nine hundred sixty-four thousand, six hundred seventy-two".