6945576960 has 192 divisors, whose sum is σ = 25395552000. Its totient is φ = 1587511296.

The previous prime is 6945576941. The next prime is 6945576971. The reversal of 6945576960 is 696755496.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 6945576960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198891 + ... + 231189.

It is an arithmetic number, because the mean of its divisors is an integer number (132268500).

Almost surely, 2^6945576960 is an apocalyptic number.

6945576960 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 6945576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697776000).

6945576960 is an abundant number, since it is smaller than the sum of its proper divisors (18449975040).

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

6945576960 is a wasteful number, since it uses less digits than its factorization.

6945576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32336 (or 32316 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The square root of 6945576960 is about 83340.1281496495. The cubic root of 6945576960 is about 1907.9607778197.

The spelling of 6945576960 in words is "six billion, nine hundred forty-five million, five hundred seventy-six thousand, nine hundred sixty".