633643615340463 has 96 divisors (see below), whose sum is σ = 1075777594368960. Its totient is φ = 328740296048640.

The previous prime is 633643615340443. The next prime is 633643615340467. The reversal of 633643615340463 is 364043516346336.

It is a happy number.

633643615340463 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 633643615340463 - 2²⁹ = 633643078469551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633643615340467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5132442831 + ... + 5132566287.

It is an arithmetic number, because the mean of its divisors is an integer number (11206016608010).

Almost surely, 2^{633643615340463} is an apocalyptic number.

633643615340463 is a deficient number, since it is larger than the sum of its proper divisors (442133979028497).

633643615340463 is a wasteful number, since it uses less digits than its factorization.

633643615340463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167577 (or 167570 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 57.

The spelling of 633643615340463 in words is "six hundred thirty-three trillion, six hundred forty-three billion, six hundred fifteen million, three hundred forty thousand, four hundred sixty-three".