6407089875729 has 63 divisors (see below), whose sum is σ = 9671127033729. Its totient is φ = 4242734743680.

The previous prime is 6407089875721. The next prime is 6407089875743. The reversal of 6407089875729 is 9275789807046.

The square root of 6407089875729 is 2531223.

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

6407089875729 is a `hidden beast` number, since 6 + 40 + 7 + 0 + 8 + 9 + 8 + 7 + 572 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1230115329 + 6405859760400 = 35073^2 + 2530980^2 .

It is not a de Polignac number, because 6407089875729 - 2³ = 6407089875721 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6407089875721) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16470667867 + ... + 16470668255.

Almost surely, 2^{6407089875729} is an apocalyptic number.

6407089875729 is the 2531223-rd square number.

6407089875729 is the 1265612-nd centered octagonal number.

It is an amenable number.

6407089875729 is a deficient number, since it is larger than the sum of its proper divisors (3264037158000).

6407089875729 is an frugal number, since it uses more digits than its factorization.

6407089875729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 6407089875729 in words is "six trillion, four hundred seven billion, eighty-nine million, eight hundred seventy-five thousand, seven hundred twenty-nine".