6867684720 has 240 divisors, whose sum is σ = 24896656512. Its totient is φ = 1686528000.

The previous prime is 6867684709. The next prime is 6867684731. The reversal of 6867684720 is 274867686.

It is an interprime number because it is at equal distance from previous prime (6867684709) and next prime (6867684731).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7028872 + ... + 7029848.

Almost surely, 2^6867684720 is an apocalyptic number.

6867684720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6867684720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448328256).

6867684720 is an abundant number, since it is smaller than the sum of its proper divisors (18028971792).

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

6867684720 is a wasteful number, since it uses less digits than its factorization.

With its successor (6867684721) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1760).

6867684720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1751 counting only the distinct ones).

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

The square root of 6867684720 is about 82871.4952200092. The cubic root of 6867684720 is about 1900.8015749868.

The spelling of 6867684720 in words is "six billion, eight hundred sixty-seven million, six hundred eighty-four thousand, seven hundred twenty".