6945323616 has 960 divisors, whose sum is σ = 28452695040. Its totient is φ = 1605795840.

The previous prime is 6945323611. The next prime is 6945323629. The reversal of 6945323616 is 6163235496.

6945323616 is a `hidden beast` number, since 6 + 9 + 4 + 5 + 3 + 23 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945323611) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78037300 + ... + 78037388.

It is an arithmetic number, because the mean of its divisors is an integer number (29638224).

Almost surely, 2^6945323616 is an apocalyptic number.

6945323616 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 6945323616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226347520).

6945323616 is an abundant number, since it is smaller than the sum of its proper divisors (21507371424).

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

6945323616 is a wasteful number, since it uses less digits than its factorization.

6945323616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 6945323616 is about 83338.6081957216. The cubic root of 6945323616 is about 1907.9375795409.

The spelling of 6945323616 in words is "six billion, nine hundred forty-five million, three hundred twenty-three thousand, six hundred sixteen".