6426713574400 has 132 divisors (see below), whose sum is σ = 18206248868848. Its totient is φ = 2203444592640.

The previous prime is 6426713574389. The next prime is 6426713574403. The reversal of 6426713574400 is 44753176246.

It is not an unprimeable number, because it can be changed into a prime (6426713574403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17752479 + ... + 18110878.

Almost surely, 2^{6426713574400} is an apocalyptic number.

It is an amenable number.

6426713574400 is an abundant number, since it is smaller than the sum of its proper divisors (11779535294448).

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

6426713574400 is a wasteful number, since it uses less digits than its factorization.

6426713574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35863394 (or 35863371 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 6426713574400 in words is "six trillion, four hundred twenty-six billion, seven hundred thirteen million, five hundred seventy-four thousand, four hundred".