6994791936 has 480 divisors, whose sum is σ = 24129705600. Its totient is φ = 2000609280.

The previous prime is 6994791911. The next prime is 6994791949. The reversal of 6994791936 is 6391974996.

It is a super-4 number, since 4×6994791936⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26002810 + ... + 26003078.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^6994791936 is an apocalyptic number.

6994791936 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 6994791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064852800).

6994791936 is an abundant number, since it is smaller than the sum of its proper divisors (17134913664).

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

6994791936 is a wasteful number, since it uses less digits than its factorization.

6994791936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 304 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The square root of 6994791936 is about 83634.8727266324. The cubic root of 6994791936 is about 1912.4566523047.

The spelling of 6994791936 in words is "six billion, nine hundred ninety-four million, seven hundred ninety-one thousand, nine hundred thirty-six".