6455877689601 has 24 divisors (see below), whose sum is σ = 9874547943624. Its totient is φ = 4050396979200.

The previous prime is 6455877689557. The next prime is 6455877689623. The reversal of 6455877689601 is 1069867785546.

6455877689601 is a `hidden beast` number, since 6 + 4 + 5 + 5 + 8 + 7 + 7 + 6 + 8 + 9 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3164755608576 + 3291122081025 = 1778976^2 + 1814145^2 .

It is not a de Polignac number, because 6455877689601 - 2⁷ = 6455877689473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6455877689601.

It is not an unprimeable number, because it can be changed into a prime (6455877689101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38700 + ... + 3593501.

It is an arithmetic number, because the mean of its divisors is an integer number (411439497651).

Almost surely, 2^{6455877689601} is an apocalyptic number.

It is an amenable number.

6455877689601 is a deficient number, since it is larger than the sum of its proper divisors (3418670254023).

6455877689601 is a wasteful number, since it uses less digits than its factorization.

6455877689601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643841 (or 3643838 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 6455877689601 in words is "six trillion, four hundred fifty-five billion, eight hundred seventy-seven million, six hundred eighty-nine thousand, six hundred one".