8272000368 has 80 divisors (see below), whose sum is σ = 24562490400. Its totient is φ = 2662248960.

The previous prime is 8272000367. The next prime is 8272000411. The reversal of 8272000368 is 8630002728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272000367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317613 + ... + 342668.

It is an arithmetic number, because the mean of its divisors is an integer number (307031130).

Almost surely, 2^8272000368 is an apocalyptic number.

It is an amenable number.

8272000368 is an abundant number, since it is smaller than the sum of its proper divisors (16290490032).

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

8272000368 is a wasteful number, since it uses less digits than its factorization.

8272000368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660327 (or 660315 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8272000368 is about 90950.5380302942. The cubic root of 8272000368 is about 2022.4145527994.

The spelling of 8272000368 in words is "eight billion, two hundred seventy-two million, three hundred sixty-eight", and thus it is an aban number.