468331839360 has 2304 divisors, whose sum is σ = 2200270625280. Its totient is φ = 94058496000.

The previous prime is 468331839299. The next prime is 468331839361. The reversal of 468331839360 is 63938133864.

468331839360 is a `hidden beast` number, since 468 + 3 + 31 + 8 + 3 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 468331839297 and 468331839306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468331839361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3101535285 + ... + 3101535435.

It is an arithmetic number, because the mean of its divisors is an integer number (954978570).

Almost surely, 2^468331839360 is an apocalyptic number.

468331839360 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 468331839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100135312640).

468331839360 is an abundant number, since it is smaller than the sum of its proper divisors (1731938785920).

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

468331839360 is a wasteful number, since it uses less digits than its factorization.

468331839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 468331839360 in words is "four hundred sixty-eight billion, three hundred thirty-one million, eight hundred thirty-nine thousand, three hundred sixty".