468528036282432 has 672 divisors, whose sum is σ = 1643468906177280. Its totient is φ = 124567926865920.

The previous prime is 468528036282413. The next prime is 468528036282479. The reversal of 468528036282432 is 234282630825864.

468528036282432 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 28 + 0 + 362 + 8 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×468528036282432³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 468528036282432.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6788357619 + ... + 6788426637.

It is an arithmetic number, because the mean of its divisors is an integer number (2445638253240).

Almost surely, 2^{468528036282432} is an apocalyptic number.

468528036282432 is a gapful number since it is divisible by the number (42) 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 468528036282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821734453088640).

468528036282432 is an abundant number, since it is smaller than the sum of its proper divisors (1174940869894848).

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

468528036282432 is a wasteful number, since it uses less digits than its factorization.

468528036282432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70179 (or 70166 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 63.

The spelling of 468528036282432 in words is "four hundred sixty-eight trillion, five hundred twenty-eight billion, thirty-six million, two hundred eighty-two thousand, four hundred thirty-two".