6945223680 has 132 divisors (see below), whose sum is σ = 24065178852. Its totient is φ = 1852047360.

The previous prime is 6945223679. The next prime is 6945223687. The reversal of 6945223680 is 863225496.

6945223680 is a `hidden beast` number, since 6 + 94 + 522 + 36 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3240797184 + 3704426496 = 56928^2 + 60864^2 .

It is a super-2 number, since 2×6945223680² = 96472263930465484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945223687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29281 + ... + 121440.

It is an arithmetic number, because the mean of its divisors is an integer number (182311961).

Almost surely, 2^6945223680 is an apocalyptic number.

6945223680 is a gapful number since it is divisible by the number (60) 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 6945223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032589426).

6945223680 is an abundant number, since it is smaller than the sum of its proper divisors (17119955172).

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

6945223680 is a wasteful number, since it uses less digits than its factorization.

6945223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150752 (or 150731 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6945223680 is about 83338.0086155171. The cubic root of 6945223680 is about 1907.9284284164.

The spelling of 6945223680 in words is "six billion, nine hundred forty-five million, two hundred twenty-three thousand, six hundred eighty".