6953083872 has 96 divisors (see below), whose sum is σ = 20880921600. Its totient is φ = 1984531968.

The previous prime is 6953083859. The next prime is 6953083909. The reversal of 6953083872 is 2783803596.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713529 + ... + 723207.

It is an arithmetic number, because the mean of its divisors is an integer number (217509600).

Almost surely, 2^6953083872 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 6953083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10440460800).

6953083872 is an abundant number, since it is smaller than the sum of its proper divisors (13927837728).

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

6953083872 is a wasteful number, since it uses less digits than its factorization.

6953083872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 6953083872 is about 83385.1537865105. The cubic root of 6953083872 is about 1908.6479171165.

The spelling of 6953083872 in words is "six billion, nine hundred fifty-three million, eighty-three thousand, eight hundred seventy-two".