6807667680 has 720 divisors, whose sum is σ = 28284745104. Its totient is φ = 1523957760.

The previous prime is 6807667667. The next prime is 6807667693. The reversal of 6807667680 is 867667086.

It is an interprime number because it is at equal distance from previous prime (6807667667) and next prime (6807667693).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 128446534 + ... + 128446586.

Almost surely, 2^6807667680 is an apocalyptic number.

6807667680 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 6807667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142372552).

6807667680 is an abundant number, since it is smaller than the sum of its proper divisors (21477077424).

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

6807667680 is a wasteful number, since it uses less digits than its factorization.

6807667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 6807667680 is about 82508.5915526377. The cubic root of 6807667680 is about 1895.2482999968.

The spelling of 6807667680 in words is "six billion, eight hundred seven million, six hundred sixty-seven thousand, six hundred eighty".