6662345647104 has 891 divisors, whose sum is σ = 23534361171867. Its totient is φ = 1809862483968.

The previous prime is 6662345647099. The next prime is 6662345647211. The reversal of 6662345647104 is 4017465432666.

It is a happy number.

The square root of 6662345647104 is 2581152.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39894285229 + ... + 39894285395.

Almost surely, 2^{6662345647104} is an apocalyptic number.

6662345647104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6662345647104 is the 2581152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6662345647104

6662345647104 is an abundant number, since it is smaller than the sum of its proper divisors (16872015524763).

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

6662345647104 is a wasteful number, since it uses less digits than its factorization.

6662345647104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 6662345647104 in words is "six trillion, six hundred sixty-two billion, three hundred forty-five million, six hundred forty-seven thousand, one hundred four".