467793672561 has 48 divisors (see below), whose sum is σ = 693548593920. Its totient is φ = 303694944000.

The previous prime is 467793672553. The next prime is 467793672587. The reversal of 467793672561 is 165276397764.

It is a happy number.

467793672561 is a `hidden beast` number, since 4 + 6 + 7 + 7 + 9 + 3 + 67 + 2 + 561 = 666.

It is not a de Polignac number, because 467793672561 - 2³ = 467793672553 is a prime.

It is a super-3 number, since 3×467793672561³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (467793662561) 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 47 ways as a sum of consecutive naturals, for example, 145773925 + ... + 145777133.

It is an arithmetic number, because the mean of its divisors is an integer number (14448929040).

Almost surely, 2^467793672561 is an apocalyptic number.

It is an amenable number.

467793672561 is a deficient number, since it is larger than the sum of its proper divisors (225754921359).

467793672561 is a wasteful number, since it uses less digits than its factorization.

467793672561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4883 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 467793672561 in words is "four hundred sixty-seven billion, seven hundred ninety-three million, six hundred seventy-two thousand, five hundred sixty-one".