6634774944 has 144 divisors (see below), whose sum is σ = 21858887232. Its totient is φ = 1869640704.

The previous prime is 6634774891. The next prime is 6634774961. The reversal of 6634774944 is 4494774366.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124627 + ... + 169709.

It is an arithmetic number, because the mean of its divisors is an integer number (151797828).

Almost surely, 2^6634774944 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 6634774944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10929443616).

6634774944 is an abundant number, since it is smaller than the sum of its proper divisors (15224112288).

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

6634774944 is a wasteful number, since it uses less digits than its factorization.

6634774944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45179 (or 45168 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The square root of 6634774944 is about 81454.1278512022. The cubic root of 6634774944 is about 1879.0661334439.

The spelling of 6634774944 in words is "six billion, six hundred thirty-four million, seven hundred seventy-four thousand, nine hundred forty-four".