8535407657764 has 81 divisors (see below), whose sum is σ = 16271509493043. Its totient is φ = 3915894662784.

The previous prime is 8535407657759. The next prime is 8535407657837. The reversal of 8535407657764 is 4677567045358.

The square root of 8535407657764 is 2921542.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6751900827364 + 1783506830400 = 2598442^2 + 1335480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8535407657764.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23775508617 + ... + 23775508975.

Almost surely, 2^{8535407657764} is an apocalyptic number.

8535407657764 is the 2921542-nd square number.

It is an amenable number.

8535407657764 is a deficient number, since it is larger than the sum of its proper divisors (7736101835279).

8535407657764 is an equidigital number, since it uses as much as digits as its factorization.

8535407657764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 592704000, while the sum is 67.

The spelling of 8535407657764 in words is "eight trillion, five hundred thirty-five billion, four hundred seven million, six hundred fifty-seven thousand, seven hundred sixty-four".