7968366766080 has 2304 divisors, whose sum is σ = 34848672768000. Its totient is φ = 1718649225216.

The previous prime is 7968366766043. The next prime is 7968366766109. The reversal of 7968366766080 is 806676638697.

It is a happy number.

7968366766080 is a `hidden beast` number, since 7 + 9 + 6 + 8 + 3 + 6 + 6 + 7 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33340446601 + ... + 33340446839.

It is an arithmetic number, because the mean of its divisors is an integer number (15125292000).

Almost surely, 2^{7968366766080} is an apocalyptic number.

7968366766080 is a gapful number since it is divisible by the number (70) 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 7968366766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424336384000).

7968366766080 is an abundant number, since it is smaller than the sum of its proper divisors (26880306001920).

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

7968366766080 is a wasteful number, since it uses less digits than its factorization.

7968366766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 7968366766080 in words is "seven trillion, nine hundred sixty-eight billion, three hundred sixty-six million, seven hundred sixty-six thousand, eighty".