6806917152 has 144 divisors (see below), whose sum is σ = 22150844352. Its totient is φ = 1942341120.

The previous prime is 6806917127. The next prime is 6806917189. The reversal of 6806917152 is 2517196086.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6806917152² = 92668242228383582208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6806917098 and 6806917107.

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 23 ways as a sum of consecutive naturals, for example, 2056683 + ... + 2059989.

It is an arithmetic number, because the mean of its divisors is an integer number (153825308).

Almost surely, 2^6806917152 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 6806917152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075422176).

6806917152 is an abundant number, since it is smaller than the sum of its proper divisors (15343927200).

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

6806917152 is a wasteful number, since it uses less digits than its factorization.

6806917152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 6806917152 is about 82504.0432463767. The cubic root of 6806917152 is about 1895.1786486732.

The spelling of 6806917152 in words is "six billion, eight hundred six million, nine hundred seventeen thousand, one hundred fifty-two".