6906908064 has 192 divisors, whose sum is σ = 21103165440. Its totient is φ = 1937295360.

The previous prime is 6906908039. The next prime is 6906908089. The reversal of 6906908064 is 4608096096.

It is an interprime number because it is at equal distance from previous prime (6906908039) and next prime (6906908089).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14917497 + ... + 14917959.

It is an arithmetic number, because the mean of its divisors is an integer number (109912320).

Almost surely, 2^6906908064 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 6906908064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10551582720).

6906908064 is an abundant number, since it is smaller than the sum of its proper divisors (14196257376).

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

6906908064 is a wasteful number, since it uses less digits than its factorization.

6906908064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 6906908064 is about 83107.8098857141. The cubic root of 6906908064 is about 1904.4133844553.

The spelling of 6906908064 in words is "six billion, nine hundred six million, nine hundred eight thousand, sixty-four".