6807888000 has 768 divisors, whose sum is σ = 27106410240. Its totient is φ = 1692057600.

The previous prime is 6807887951. The next prime is 6807888019. The reversal of 6807888000 is 8887086.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66095949 + ... + 66096051.

It is an arithmetic number, because the mean of its divisors is an integer number (35294805).

Almost surely, 2^6807888000 is an apocalyptic number.

6807888000 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 6807888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553205120).

6807888000 is an abundant number, since it is smaller than the sum of its proper divisors (20298522240).

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

6807888000 is a wasteful number, since it uses less digits than its factorization.

6807888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 6807888000 is about 82509.9266755219. The cubic root of 6807888000 is about 1895.2687454034.

The spelling of 6807888000 in words is "six billion, eight hundred seven million, eight hundred eighty-eight thousand".