6906776096 has 48 divisors (see below), whose sum is σ = 14904334368. Its totient is φ = 3124531200.

The previous prime is 6906776077. The next prime is 6906776117.

It is a happy number.

6906776096 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×6906776096³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27776 + ... + 120768.

It is an arithmetic number, because the mean of its divisors is an integer number (310506966).

Almost surely, 2^6906776096 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 6906776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452167184).

6906776096 is an abundant number, since it is smaller than the sum of its proper divisors (7997558272).

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

6906776096 is a wasteful number, since it uses less digits than its factorization.

6906776096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93225 (or 93217 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 56.

The square root of 6906776096 is about 83107.0159252515. The cubic root of 6906776096 is about 1904.4012553799.

The spelling of 6906776096 in words is "six billion, nine hundred six million, seven hundred seventy-six thousand, ninety-six".