6894766080 has 288 divisors, whose sum is σ = 24224054400. Its totient is φ = 1813413888.

The previous prime is 6894766069. The next prime is 6894766103. The reversal of 6894766080 is 806674986.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7280167 + ... + 7281113.

It is an arithmetic number, because the mean of its divisors is an integer number (84111300).

Almost surely, 2^6894766080 is an apocalyptic number.

6894766080 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 6894766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12112027200).

6894766080 is an abundant number, since it is smaller than the sum of its proper divisors (17329288320).

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

6894766080 is a wasteful number, since it uses less digits than its factorization.

6894766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6894766080 is about 83034.7281563564. The cubic root of 6894766080 is about 1903.2967767652.

It can be divided in two parts, 689476 and 6080, that added together give a square (695556 = 834²).

The spelling of 6894766080 in words is "six billion, eight hundred ninety-four million, seven hundred sixty-six thousand, eighty".