6906798080 has 448 divisors, whose sum is σ = 21798564480. Its totient is φ = 2038431744.

The previous prime is 6906798071. The next prime is 6906798083. The reversal of 6906798080 is 808976096.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6906798083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63365066 + ... + 63365174.

It is an arithmetic number, because the mean of its divisors is an integer number (48657510).

Almost surely, 2^6906798080 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 6906798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10899282240).

6906798080 is an abundant number, since it is smaller than the sum of its proper divisors (14891766400).

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

6906798080 is a wasteful number, since it uses less digits than its factorization.

6906798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The square root of 6906798080 is about 83107.1481883478. The cubic root of 6906798080 is about 1904.4032759228.

The spelling of 6906798080 in words is "six billion, nine hundred six million, seven hundred ninety-eight thousand, eighty".