6945385824 has 480 divisors, whose sum is σ = 23291009280. Its totient is φ = 2015539200.

The previous prime is 6945385813. The next prime is 6945385829. The reversal of 6945385824 is 4285835496.

6945385824 is a `hidden beast` number, since 6 + 9 + 4 + 53 + 8 + 582 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945385829) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63719082 + ... + 63719190.

It is an arithmetic number, because the mean of its divisors is an integer number (48522936).

Almost surely, 2^6945385824 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 6945385824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11645504640).

6945385824 is an abundant number, since it is smaller than the sum of its proper divisors (16345623456).

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

6945385824 is a wasteful number, since it uses less digits than its factorization.

6945385824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 6945385824 is about 83338.9814192614. The cubic root of 6945385824 is about 1907.9432758739.

The spelling of 6945385824 in words is "six billion, nine hundred forty-five million, three hundred eighty-five thousand, eight hundred twenty-four".