6712868050560 has 1152 divisors, whose sum is σ = 27841410979200. Its totient is φ = 1458046550016.

The previous prime is 6712868050549. The next prime is 6712868050571. The reversal of 6712868050560 is 650508682176.

6712868050560 is a `hidden beast` number, since 6 + 7 + 1 + 28 + 6 + 8 + 0 + 50 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6712868050549) and next prime (6712868050571).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 6712868050497 and 6712868050506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25524212989 + ... + 25524213251.

It is an arithmetic number, because the mean of its divisors is an integer number (24167891475).

Almost surely, 2^{6712868050560} is an apocalyptic number.

6712868050560 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 6712868050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920705489600).

6712868050560 is an abundant number, since it is smaller than the sum of its proper divisors (21128542928640).

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

6712868050560 is a wasteful number, since it uses less digits than its factorization.

6712868050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 6712868050560 in words is "six trillion, seven hundred twelve billion, eight hundred sixty-eight million, fifty thousand, five hundred sixty".