6460376142529 has 9 divisors (see below), whose sum is σ = 6469210535203. Its totient is φ = 6451553808112.

The previous prime is 6460376142499. The next prime is 6460376142559. The reversal of 6460376142529 is 9252416730646.

It is a happy number.

The square root of 6460376142529 is 2541727.

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

It is an interprime number because it is at equal distance from previous prime (6460376142499) and next prime (6460376142559).

It can be written as a sum of positive squares in only one way, i.e., 5859193012929 + 601183129600 = 2420577^2 + 775360^2 .

It is not a de Polignac number, because 6460376142529 - 2¹³ = 6460376134337 is a prime.

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 6460376142529.

It is not an unprimeable number, because it can be changed into a prime (6460376142559) 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 8 ways as a sum of consecutive naturals, for example, 2666270412 + ... + 2666272834.

Almost surely, 2^{6460376142529} is an apocalyptic number.

6460376142529 is the 2541727-th square number.

6460376142529 is the 1270864-th centered octagonal number.

It is an amenable number.

6460376142529 is a deficient number, since it is larger than the sum of its proper divisors (8834392674).

6460376142529 is an frugal number, since it uses more digits than its factorization.

6460376142529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 6460376142529 in words is "six trillion, four hundred sixty billion, three hundred seventy-six million, one hundred forty-two thousand, five hundred twenty-nine".