7667449608256 has 189 divisors, whose sum is σ = 16172959933543. Its totient is φ = 3606366438400.

The previous prime is 7667449608253. The next prime is 7667449608263. The reversal of 7667449608256 is 6528069447667.

The square root of 7667449608256 is 2769016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 171243681856 + 7496205926400 = 413816^2 + 2737920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7667449608253) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51459393270 + ... + 51459393418.

Almost surely, 2^{7667449608256} is an apocalyptic number.

7667449608256 is the 2769016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7667449608256

7667449608256 is an abundant number, since it is smaller than the sum of its proper divisors (8505510325287).

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

7667449608256 is an equidigital number, since it uses as much as digits as its factorization.

7667449608256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 70.

The spelling of 7667449608256 in words is "seven trillion, six hundred sixty-seven billion, four hundred forty-nine million, six hundred eight thousand, two hundred fifty-six".