6696641952 has 960 divisors, whose sum is σ = 27662342400. Its totient is φ = 1532805120.

The previous prime is 6696641909. The next prime is 6696641953. The reversal of 6696641952 is 2591466966.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6696641953) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75243124 + ... + 75243212.

It is an arithmetic number, because the mean of its divisors is an integer number (28814940).

Almost surely, 2^6696641952 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 6696641952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13831171200).

6696641952 is an abundant number, since it is smaller than the sum of its proper divisors (20965700448).

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

6696641952 is a wasteful number, since it uses less digits than its factorization.

6696641952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 6696641952 is about 81833.0126049384. The cubic root of 6696641952 is about 1884.8886229507. Note that the first 3 decimals are identical.

The spelling of 6696641952 in words is "six billion, six hundred ninety-six million, six hundred forty-one thousand, nine hundred fifty-two".