7806717067968 has 1792 divisors, whose sum is σ = 30281416704000. Its totient is φ = 1916356755456.

The previous prime is 7806717067841. The next prime is 7806717067979. The reversal of 7806717067968 is 8697607176087.

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

It is a junction number, because it is equal to n+sod(n) for n = 7806717067896 and 7806717067905.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25429045671 + ... + 25429045977.

It is an arithmetic number, because the mean of its divisors is an integer number (16898112000).

Almost surely, 2^{7806717067968} is an apocalyptic number.

7806717067968 is a gapful number since it is divisible by the number (78) 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 7806717067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15140708352000).

7806717067968 is an abundant number, since it is smaller than the sum of its proper divisors (22474699636032).

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

7806717067968 is a wasteful number, since it uses less digits than its factorization.

7806717067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 7806717067968 in words is "seven trillion, eight hundred six billion, seven hundred seventeen million, sixty-seven thousand, nine hundred sixty-eight".