7677247506768 has 60 divisors (see below), whose sum is σ = 24555005917728. Its totient is φ = 2193499287360.

The previous prime is 7677247506743. The next prime is 7677247506839. The reversal of 7677247506768 is 8676057427767.

7677247506768 is a `hidden beast` number, since 7 + 6 + 7 + 7 + 2 + 47 + 506 + 76 + 8 = 666.

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 = 7677247506696 and 7677247506705.

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, 3808157478 + ... + 3808159493.

Almost surely, 2^{7677247506768} is an apocalyptic number.

It is an amenable number.

7677247506768 is an abundant number, since it is smaller than the sum of its proper divisors (16877758410960).

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

7677247506768 is a wasteful number, since it uses less digits than its factorization.

7677247506768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616316992 (or 7616316983 counting only the distinct ones).

The product of its (nonzero) digits is 1161699840, while the sum is 72.

The spelling of 7677247506768 in words is "seven trillion, six hundred seventy-seven billion, two hundred forty-seven million, five hundred six thousand, seven hundred sixty-eight".