6959772960 has 384 divisors, whose sum is σ = 27027302400. Its totient is φ = 1469767680.

The previous prime is 6959772931. The next prime is 6959772961. The reversal of 6959772960 is 692779596.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6959772894 and 6959772903.

It is not an unprimeable number, because it can be changed into a prime (6959772961) 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 63 ways as a sum of consecutive naturals, for example, 2616111 + ... + 2618769.

It is an arithmetic number, because the mean of its divisors is an integer number (70383600).

Almost surely, 2^6959772960 is an apocalyptic number.

6959772960 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 6959772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513651200).

6959772960 is an abundant number, since it is smaller than the sum of its proper divisors (20067529440).

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

6959772960 is a wasteful number, since it uses less digits than its factorization.

6959772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 60.

The square root of 6959772960 is about 83425.2537305102. The cubic root of 6959772960 is about 1909.2597809636.

The spelling of 6959772960 in words is "six billion, nine hundred fifty-nine million, seven hundred seventy-two thousand, nine hundred sixty".