8672837774328 has 360 divisors, whose sum is σ = 30598932525480. Its totient is φ = 2287340415360.

The previous prime is 8672837774327. The next prime is 8672837774329. The reversal of 8672837774328 is 8234777382768.

It is an interprime number because it is at equal distance from previous prime (8672837774327) and next prime (8672837774329).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8672837774327) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4557973 + ... + 6174203.

It is an arithmetic number, because the mean of its divisors is an integer number (84997034793).

Almost surely, 2^{8672837774328} 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 8672837774328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299466262740).

8672837774328 is an abundant number, since it is smaller than the sum of its proper divisors (21926094751152).

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

8672837774328 is a wasteful number, since it uses less digits than its factorization.

8672837774328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616289 (or 1616256 counting only the distinct ones).

The product of its digits is 1062125568, while the sum is 72.

The spelling of 8672837774328 in words is "eight trillion, six hundred seventy-two billion, eight hundred thirty-seven million, seven hundred seventy-four thousand, three hundred twenty-eight".