459876672768 has 72 divisors (see below), whose sum is σ = 1257022210528. Its totient is φ = 149149181952.

The previous prime is 459876672767. The next prime is 459876672793. The reversal of 459876672768 is 867276678954.

It is a super-2 number, since 2×459876672768² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459876672768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459876672767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8063446 + ... + 8120277.

Almost surely, 2^459876672768 is an apocalyptic number.

459876672768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

459876672768 is an abundant number, since it is smaller than the sum of its proper divisors (797145537760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

459876672768 is a wasteful number, since it uses less digits than its factorization.

459876672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16183779 (or 16183765 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 75.

The spelling of 459876672768 in words is "four hundred fifty-nine billion, eight hundred seventy-six million, six hundred seventy-two thousand, seven hundred sixty-eight".