874827009657 has 24 divisors (see below), whose sum is σ = 1291568992896. Its totient is φ = 570347325216.

The previous prime is 874827009631. The next prime is 874827009659. The reversal of 874827009657 is 756900728478.

874827009657 is a `hidden beast` number, since 87 + 482 + 70 + 0 + 9 + 6 + 5 + 7 = 666.

It is not a de Polignac number, because 874827009657 - 2¹⁵ = 874826976889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 874827009594 and 874827009603.

It is not an unprimeable number, because it can be changed into a prime (874827009659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312703 + ... + 1359204.

It is an arithmetic number, because the mean of its divisors is an integer number (53815374704).

Almost surely, 2^874827009657 is an apocalyptic number.

It is an amenable number.

874827009657 is a deficient number, since it is larger than the sum of its proper divisors (416741983239).

874827009657 is a wasteful number, since it uses less digits than its factorization.

874827009657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673197 (or 1673194 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 874827009657 in words is "eight hundred seventy-four billion, eight hundred twenty-seven million, nine thousand, six hundred fifty-seven".