6945333120 has 512 divisors, whose sum is σ = 27319680000. Its totient is φ = 1653350400.

The previous prime is 6945333097. The next prime is 6945333137. The reversal of 6945333120 is 213335496.

It is a happy number.

6945333120 is a `hidden beast` number, since 6 + 94 + 533 + 31 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11594581 + ... + 11595179.

It is an arithmetic number, because the mean of its divisors is an integer number (53358750).

Almost surely, 2^6945333120 is an apocalyptic number.

6945333120 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 6945333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840000).

6945333120 is an abundant number, since it is smaller than the sum of its proper divisors (20374346880).

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

6945333120 is a wasteful number, since it uses less digits than its factorization.

6945333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 6945333120 is about 83338.6652160928. The cubic root of 6945333120 is about 1907.9384498162.

The spelling of 6945333120 in words is "six billion, nine hundred forty-five million, three hundred thirty-three thousand, one hundred twenty".