6941930688 has 1008 divisors, whose sum is σ = 28331476992. Its totient is φ = 1642291200.

The previous prime is 6941930663. The next prime is 6941930689. The reversal of 6941930688 is 8860391496.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (6941930689) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223933233 + ... + 223933263.

It is an arithmetic number, because the mean of its divisors is an integer number (28106624).

Almost surely, 2^6941930688 is an apocalyptic number.

6941930688 is a gapful number since it is divisible by the number (68) 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 6941930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165738496).

6941930688 is an abundant number, since it is smaller than the sum of its proper divisors (21389546304).

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

6941930688 is a wasteful number, since it uses less digits than its factorization.

6941930688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 6941930688 is about 83318.2494295217. The cubic root of 6941930688 is about 1907.6268405160.

The spelling of 6941930688 in words is "six billion, nine hundred forty-one million, nine hundred thirty thousand, six hundred eighty-eight".