8272867824 has 640 divisors, whose sum is σ = 28931481600. Its totient is φ = 2239488000.

The previous prime is 8272867807. The next prime is 8272867829. The reversal of 8272867824 is 4287682728.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272867829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135620754 + ... + 135620814.

It is an arithmetic number, because the mean of its divisors is an integer number (45205440).

Almost surely, 2^8272867824 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 8272867824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465740800).

8272867824 is an abundant number, since it is smaller than the sum of its proper divisors (20658613776).

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

8272867824 is a wasteful number, since it uses less digits than its factorization.

8272867824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 8272867824 is about 90955.3067390793. The cubic root of 8272867824 is about 2022.4852448625.

It can be divided in two parts, 8272 and 867824, that added together give a square (876096 = 936²).

The spelling of 8272867824 in words is "eight billion, two hundred seventy-two million, eight hundred sixty-seven thousand, eight hundred twenty-four".