7674766560 has 72 divisors (see below), whose sum is σ = 26190145800. Its totient is φ = 2046604032.

The previous prime is 7674766559. The next prime is 7674766571. The reversal of 7674766560 is 656674767.

7674766560 is a `hidden beast` number, since 7 + 6 + 7 + 4 + 76 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 7674766497 and 7674766506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2663410 + ... + 2666289.

It is an arithmetic number, because the mean of its divisors is an integer number (363752025).

Almost surely, 2^7674766560 is an apocalyptic number.

It is an amenable number.

7674766560 is an abundant number, since it is smaller than the sum of its proper divisors (18515379240).

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

7674766560 is a wasteful number, since it uses less digits than its factorization.

7674766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329720 (or 5329709 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The square root of 7674766560 is about 87605.7450170935. The cubic root of 7674766560 is about 1972.5214057926.

The spelling of 7674766560 in words is "seven billion, six hundred seventy-four million, seven hundred sixty-six thousand, five hundred sixty".