6867286272 has 1080 divisors, whose sum is σ = 28420495488. Its totient is φ = 1605795840.

The previous prime is 6867286259. The next prime is 6867286291. The reversal of 6867286272 is 2726827686.

6867286272 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 2 + 8 + 627 + 2 = 666.

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

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

Its product of digits (5419008) is a multiple of the sum of its prime divisors (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 298577653 + ... + 298577675.

Almost surely, 2^6867286272 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 6867286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210247744).

6867286272 is an abundant number, since it is smaller than the sum of its proper divisors (21553209216).

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

6867286272 is a wasteful number, since it uses less digits than its factorization.

6867286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 6867286272 is about 82869.0911739715. The cubic root of 6867286272 is about 1900.7648141635.

The spelling of 6867286272 in words is "six billion, eight hundred sixty-seven million, two hundred eighty-six thousand, two hundred seventy-two".