6959144960 has 224 divisors, whose sum is σ = 17835189120. Its totient is φ = 2600992768.

The previous prime is 6959144893. The next prime is 6959144987. The reversal of 6959144960 is 694419596.

It is a super-3 number, since 3×6959144960³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78192596 + ... + 78192684.

It is an arithmetic number, because the mean of its divisors is an integer number (79621380).

Almost surely, 2^6959144960 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 6959144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8917594560).

6959144960 is an abundant number, since it is smaller than the sum of its proper divisors (10876044160).

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

6959144960 is an equidigital number, since it uses as much as digits as its factorization.

6959144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 53.

The square root of 6959144960 is about 83421.4897972938. The cubic root of 6959144960 is about 1909.2023532661.

The spelling of 6959144960 in words is "six billion, nine hundred fifty-nine million, one hundred forty-four thousand, nine hundred sixty".