6960263740560 has 240 divisors, whose sum is σ = 25236375279024. Its totient is φ = 1708979171328.

The previous prime is 6960263740543. The next prime is 6960263740571. The reversal of 6960263740560 is 650473620696.

6960263740560 is a `hidden beast` number, since 6 + 9 + 6 + 0 + 2 + 6 + 3 + 74 + 0 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1190813467536 + 5769450273024 = 1091244^2 + 2401968^2 .

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

It is a super-2 number, since 2×6960263740560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6960263740497 and 6960263740506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2779374 + ... + 4652466.

Almost surely, 2^{6960263740560} is an apocalyptic number.

6960263740560 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 6960263740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618187639512).

6960263740560 is an abundant number, since it is smaller than the sum of its proper divisors (18276111538464).

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

6960263740560 is a wasteful number, since it uses less digits than its factorization.

6960263740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873522 (or 1873513 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 6960263740560 in words is "six trillion, nine hundred sixty billion, two hundred sixty-three million, seven hundred forty thousand, five hundred sixty".