6906904440 has 64 divisors (see below), whose sum is σ = 20869833600. Its totient is φ = 1828586112.

The previous prime is 6906904429. The next prime is 6906904447. The reversal of 6906904440 is 444096096.

It is a junction number, because it is equal to n+sod(n) for n = 6906904392 and 6906904401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6906904447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190362 + ... + 223721.

It is an arithmetic number, because the mean of its divisors is an integer number (326091150).

Almost surely, 2^6906904440 is an apocalyptic number.

6906904440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6906904440 is an abundant number, since it is smaller than the sum of its proper divisors (13962929160).

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

6906904440 is a wasteful number, since it uses less digits than its factorization.

6906904440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414236 (or 414232 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 6906904440 is about 83107.7880827062. The cubic root of 6906904440 is about 1904.4130513784.

The spelling of 6906904440 in words is "six billion, nine hundred six million, nine hundred four thousand, four hundred forty".