8137972667 has 8 divisors (see below), whose sum is σ = 8891391600. Its totient is φ = 7386820960.

The previous prime is 8137972651. The next prime is 8137972741. The reversal of 8137972667 is 7662797318.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8137972667 - 2⁴ = 8137972651 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8137972637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559292 + ... + 573657.

It is an arithmetic number, because the mean of its divisors is an integer number (1111423950).

Almost surely, 2^8137972667 is an apocalyptic number.

8137972667 is a deficient number, since it is larger than the sum of its proper divisors (753418933).

8137972667 is a wasteful number, since it uses less digits than its factorization.

8137972667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133613.

The product of its digits is 5334336, while the sum is 56.

The square root of 8137972667 is about 90210.7125955671. The cubic root of 8137972667 is about 2011.4322495721.

The spelling of 8137972667 in words is "eight billion, one hundred thirty-seven million, nine hundred seventy-two thousand, six hundred sixty-seven".