7666430644224 has 1755 divisors, whose sum is σ = 27773079939759. Its totient is φ = 2105198346240.

The previous prime is 7666430644183. The next prime is 7666430644237. The reversal of 7666430644224 is 4224460346667.

The square root of 7666430644224 is 2768832.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 333323071477 + ... + 333323071499.

Almost surely, 2^{7666430644224} is an apocalyptic number.

7666430644224 is the 2768832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7666430644224

7666430644224 is an abundant number, since it is smaller than the sum of its proper divisors (20106649295535).

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

7666430644224 is a wasteful number, since it uses less digits than its factorization.

7666430644224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 54.

The spelling of 7666430644224 in words is "seven trillion, six hundred sixty-six billion, four hundred thirty million, six hundred forty-four thousand, two hundred twenty-four".