8000586672672 has 864 divisors, whose sum is σ = 25600109693760. Its totient is φ = 2168992235520.

The previous prime is 8000586672629. The next prime is 8000586672703. The reversal of 8000586672672 is 2762766850008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19561336404 + ... + 19561336812.

It is an arithmetic number, because the mean of its divisors is an integer number (29629756590).

Almost surely, 2^{8000586672672} 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 8000586672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800054846880).

8000586672672 is an abundant number, since it is smaller than the sum of its proper divisors (17599523021088).

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

8000586672672 is a wasteful number, since it uses less digits than its factorization.

8000586672672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 8000586672672 in words is "eight trillion, five hundred eighty-six million, six hundred seventy-two thousand, six hundred seventy-two".