6456961286927 has 32 divisors (see below), whose sum is σ = 6986207923200. Its totient is φ = 5948358571008.

The previous prime is 6456961286903. The next prime is 6456961286929. The reversal of 6456961286927 is 7296821696546.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 6456961286927 - 2⁶ = 6456961286863 is a prime.

It is a super-2 number, since 2×6456961286927² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456961286929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701153099 + ... + 701162307.

It is an arithmetic number, because the mean of its divisors is an integer number (218318997600).

Almost surely, 2^{6456961286927} is an apocalyptic number.

6456961286927 is a deficient number, since it is larger than the sum of its proper divisors (529246636273).

6456961286927 is a wasteful number, since it uses less digits than its factorization.

6456961286927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14255.

The product of its digits is 470292480, while the sum is 71.

The spelling of 6456961286927 in words is "six trillion, four hundred fifty-six billion, nine hundred sixty-one million, two hundred eighty-six thousand, nine hundred twenty-seven".