7671760406064 has 120 divisors (see below), whose sum is σ = 21748450301760. Its totient is φ = 2524139864064.

The previous prime is 7671760406047. The next prime is 7671760406071. The reversal of 7671760406064 is 4606040671767.

7671760406064 is a `hidden beast` number, since 7 + 6 + 7 + 176 + 0 + 406 + 0 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7671760406064.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39229294 + ... + 39424370.

It is an arithmetic number, because the mean of its divisors is an integer number (181237085848).

Almost surely, 2^{7671760406064} 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 7671760406064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10874225150880).

7671760406064 is an abundant number, since it is smaller than the sum of its proper divisors (14076689895696).

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

7671760406064 is a wasteful number, since it uses less digits than its factorization.

7671760406064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198627 (or 198618 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 7671760406064 in words is "seven trillion, six hundred seventy-one billion, seven hundred sixty million, four hundred six thousand, sixty-four".