468973858423680 has 384 divisors, whose sum is σ = 1684161787482720. Its totient is φ = 124705404223488.

The previous prime is 468973858423649. The next prime is 468973858423691. The reversal of 468973858423680 is 86324858379864.

468973858423680 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 7 + 3 + 8 + 584 + 23 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×468973858423680³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 468973858423680.

It is a congruent number.

It is an unprimeable number.

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, 50627284 + ... + 59169836.

Almost surely, 2^{468973858423680} is an apocalyptic number.

468973858423680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468973858423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842080893741360).

468973858423680 is an abundant number, since it is smaller than the sum of its proper divisors (1215187929059040).

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

468973858423680 is an equidigital number, since it uses as much as digits as its factorization.

468973858423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542940 (or 8542916 counting only the distinct ones).

The product of its (nonzero) digits is 13377208320, while the sum is 81.

The spelling of 468973858423680 in words is "four hundred sixty-eight trillion, nine hundred seventy-three billion, eight hundred fifty-eight million, four hundred twenty-three thousand, six hundred eighty".