6705862426624 has 45 divisors (see below), whose sum is σ = 13411978501831. Its totient is φ = 3352765480960.

The previous prime is 6705862426619. The next prime is 6705862426673. The reversal of 6705862426624 is 4266242685076.

It is a happy number.

The square root of 6705862426624 is 2589568.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 331454589 + ... + 331474819.

Almost surely, 2^{6705862426624} is an apocalyptic number.

6705862426624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6705862426624 is the 2589568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6705862426624

6705862426624 is an abundant number, since it is smaller than the sum of its proper divisors (6706116075207).

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

6705862426624 is an frugal number, since it uses more digits than its factorization.

6705862426624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40490 (or 20233 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 58.

The spelling of 6705862426624 in words is "six trillion, seven hundred five billion, eight hundred sixty-two million, four hundred twenty-six thousand, six hundred twenty-four".