6712191067824 has 480 divisors, whose sum is σ = 22116459456000. Its totient is φ = 1878308352000.

The previous prime is 6712191067807. The next prime is 6712191067859. The reversal of 6712191067824 is 4287601912176.

It is a super-3 number, since 3×6712191067824³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2404939869 + ... + 2404942659.

It is an arithmetic number, because the mean of its divisors is an integer number (46075957200).

Almost surely, 2^{6712191067824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6712191067824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11058229728000).

6712191067824 is an abundant number, since it is smaller than the sum of its proper divisors (15404268388176).

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

6712191067824 is a wasteful number, since it uses less digits than its factorization.

6712191067824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 6712191067824 in words is "six trillion, seven hundred twelve billion, one hundred ninety-one million, sixty-seven thousand, eight hundred twenty-four".