6468788405 has 16 divisors (see below), whose sum is σ = 8221687920. Its totient is φ = 4869123072.

The previous prime is 6468788399. The next prime is 6468788437. The reversal of 6468788405 is 5048878646.

It can be written as a sum of positive squares in 8 ways, for example, as 82700836 + 6386087569 = 9094^2 + 79913^2 .

It is a cyclic number.

It is not a de Polignac number, because 6468788405 - 2⁸ = 6468788149 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323231 + ... + 342659.

It is an arithmetic number, because the mean of its divisors is an integer number (513855495).

Almost surely, 2^6468788405 is an apocalyptic number.

It is an amenable number.

6468788405 is a deficient number, since it is larger than the sum of its proper divisors (1752899515).

6468788405 is a wasteful number, since it uses less digits than its factorization.

6468788405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23368.

The product of its (nonzero) digits is 10321920, while the sum is 56.

The square root of 6468788405 is about 80428.7784626871. The cubic root of 6468788405 is about 1863.2636658174.

The spelling of 6468788405 in words is "six billion, four hundred sixty-eight million, seven hundred eighty-eight thousand, four hundred five".