8728975400657 has 16 divisors (see below), whose sum is σ = 8905131159120. Its totient is φ = 8553248151552.

The previous prime is 8728975400653. The next prime is 8728975400671. The reversal of 8728975400657 is 7560045798278.

It can be written as a sum of positive squares in 8 ways, for example, as 1799887876801 + 6929087523856 = 1341599^2 + 2632316^2 .

It is a cyclic number.

It is not a de Polignac number, because 8728975400657 - 2² = 8728975400653 is a prime.

It is a super-3 number, since 3×8728975400657³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (68) 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 not an unprimeable number, because it can be changed into a prime (8728975400653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259859219 + ... + 259892807.

It is an arithmetic number, because the mean of its divisors is an integer number (556570697445).

Almost surely, 2^{8728975400657} is an apocalyptic number.

It is an amenable number.

8728975400657 is a deficient number, since it is larger than the sum of its proper divisors (176155758463).

8728975400657 is a wasteful number, since it uses less digits than its factorization.

8728975400657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39812.

The product of its (nonzero) digits is 237081600, while the sum is 68.

The spelling of 8728975400657 in words is "eight trillion, seven hundred twenty-eight billion, nine hundred seventy-five million, four hundred thousand, six hundred fifty-seven".