677540247813 has 48 divisors (see below), whose sum is σ = 1150322322240. Its totient is φ = 378859852800.

The previous prime is 677540247763. The next prime is 677540247847. The reversal of 677540247813 is 318742045776.

677540247813 is a `hidden beast` number, since 6 + 7 + 7 + 540 + 24 + 78 + 1 + 3 = 666.

It is not a de Polignac number, because 677540247813 - 2⁶ = 677540247749 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 677540247813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677540257813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2551758 + ... + 2804736.

It is an arithmetic number, because the mean of its divisors is an integer number (23965048380).

Almost surely, 2^677540247813 is an apocalyptic number.

It is an amenable number.

677540247813 is a deficient number, since it is larger than the sum of its proper divisors (472782074427).

677540247813 is a wasteful number, since it uses less digits than its factorization.

677540247813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255090 (or 255087 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 677540247813 in words is "six hundred seventy-seven billion, five hundred forty million, two hundred forty-seven thousand, eight hundred thirteen".