6406714613120 has 32 divisors (see below), whose sum is σ = 15316052123520. Its totient is φ = 2562685844992.

The previous prime is 6406714613113. The next prime is 6406714613129. The reversal of 6406714613120 is 213164176046.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×6406714613120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406714613129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005245152 + ... + 5005246431.

It is an arithmetic number, because the mean of its divisors is an integer number (478626628860).

Almost surely, 2^{6406714613120} is an apocalyptic number.

It is an amenable number.

6406714613120 is an abundant number, since it is smaller than the sum of its proper divisors (8909337510400).

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

6406714613120 is a wasteful number, since it uses less digits than its factorization.

6406714613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010491602 (or 10010491590 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

Adding to 6406714613120 its reverse (213164176046), we get a palindrome (6619878789166).

The spelling of 6406714613120 in words is "six trillion, four hundred six billion, seven hundred fourteen million, six hundred thirteen thousand, one hundred twenty".