7008746766768 has 160 divisors (see below), whose sum is σ = 20813175014400. Its totient is φ = 2255497622784.

The previous prime is 7008746766727. The next prime is 7008746766781. The reversal of 7008746766768 is 8676676478007.

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 = 7008746766696 and 7008746766705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281203555 + ... + 281228477.

It is an arithmetic number, because the mean of its divisors is an integer number (130082343840).

Almost surely, 2^{7008746766768} 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 7008746766768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10406587507200).

7008746766768 is an abundant number, since it is smaller than the sum of its proper divisors (13804428247632).

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

7008746766768 is a wasteful number, since it uses less digits than its factorization.

7008746766768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47416 (or 47404 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 72.

The spelling of 7008746766768 in words is "seven trillion, eight billion, seven hundred forty-six million, seven hundred sixty-six thousand, seven hundred sixty-eight".