6941313792 has 720 divisors, whose sum is σ = 26176772160. Its totient is φ = 1783627776.

The previous prime is 6941313767. The next prime is 6941313857. The reversal of 6941313792 is 2973131496.

It is a super-3 number, since 3×6941313792³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71559888 + ... + 71559984.

It is an arithmetic number, because the mean of its divisors is an integer number (36356628).

Almost surely, 2^6941313792 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 6941313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13088386080).

6941313792 is an abundant number, since it is smaller than the sum of its proper divisors (19235458368).

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

6941313792 is a wasteful number, since it uses less digits than its factorization.

6941313792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 6941313792 is about 83314.5473011766. The cubic root of 6941313792 is about 1907.5703316339.

The spelling of 6941313792 in words is "six billion, nine hundred forty-one million, three hundred thirteen thousand, seven hundred ninety-two".