6960205440 has 192 divisors, whose sum is σ = 24365170440. Its totient is φ = 1830518784.

The previous prime is 6960205429. The next prime is 6960205477. The reversal of 6960205440 is 445020696.

6960205440 is a `hidden beast` number, since 6 + 9 + 6 + 0 + 205 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6828047424 + 132158016 = 82632^2 + 11496^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6960205395 and 6960205404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412204 + ... + 428756.

Almost surely, 2^6960205440 is an apocalyptic number.

6960205440 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 6960205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182585220).

6960205440 is an abundant number, since it is smaller than the sum of its proper divisors (17404965000).

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

6960205440 is a wasteful number, since it uses less digits than its factorization.

6960205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16651 (or 16636 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6960205440 is about 83427.8457111293. The cubic root of 6960205440 is about 1909.2993272521.

The spelling of 6960205440 in words is "six billion, nine hundred sixty million, two hundred five thousand, four hundred forty".