7667748664900 has 27 divisors (see below), whose sum is σ = 16639074691869. Its totient is φ = 3067088389680.

The previous prime is 7667748664867. The next prime is 7667748664931. The reversal of 7667748664900 is 94668477667.

The square root of 7667748664900 is 2769070.

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

It can be written as a sum of positive squares in only one way, i.e., 2760389519364 + 4907359145536 = 1661442^2 + 2215256^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7667748664900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27552247 + ... + 27829153.

Almost surely, 2^{7667748664900} is an apocalyptic number.

7667748664900 is the 2769070-th square number.

It is an amenable number.

7667748664900 is an abundant number, since it is smaller than the sum of its proper divisors (8971326026969).

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

7667748664900 is an frugal number, since it uses more digits than its factorization.

7667748664900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553828 (or 276914 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 70.

The spelling of 7667748664900 in words is "seven trillion, six hundred sixty-seven billion, seven hundred forty-eight million, six hundred sixty-four thousand, nine hundred".