6957261360 has 240 divisors, whose sum is σ = 26897445120. Its totient is φ = 1578631680.

The previous prime is 6957261349. The next prime is 6957261361. The reversal of 6957261360 is 631627596.

6957261360 is a `hidden beast` number, since 6 + 9 + 572 + 6 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6957261361) 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 47 ways as a sum of consecutive naturals, for example, 695595 + ... + 705525.

It is an arithmetic number, because the mean of its divisors is an integer number (112072688).

Almost surely, 2^6957261360 is an apocalyptic number.

6957261360 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 6957261360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448722560).

6957261360 is an abundant number, since it is smaller than the sum of its proper divisors (19940183760).

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

6957261360 is a wasteful number, since it uses less digits than its factorization.

6957261360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6957261360 is about 83410.1993763353. The cubic root of 6957261360 is about 1909.0300860276.

The spelling of 6957261360 in words is "six billion, nine hundred fifty-seven million, two hundred sixty-one thousand, three hundred sixty".