6963993696 has 288 divisors, whose sum is σ = 22317966720. Its totient is φ = 1880064000.

The previous prime is 6963993637. The next prime is 6963993709.

6963993696 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5797896 + ... + 5799096.

It is an arithmetic number, because the mean of its divisors is an integer number (77492940).

Almost surely, 2^6963993696 is an apocalyptic number.

6963993696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6963993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158983360).

6963993696 is an abundant number, since it is smaller than the sum of its proper divisors (15353973024).

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

6963993696 is a wasteful number, since it uses less digits than its factorization.

6963993696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1253 counting only the distinct ones).

The product of its digits is 76527504, while the sum is 66.

The square root of 6963993696 is about 83450.5464092357. The cubic root of 6963993696 is about 1909.6456581596.

The spelling of 6963993696 in words is "six billion, nine hundred sixty-three million, nine hundred ninety-three thousand, six hundred ninety-six".