468285952680 has 768 divisors, whose sum is σ = 1907015685120. Its totient is φ = 97033863168.

The previous prime is 468285952637. The next prime is 468285952727. The reversal of 468285952680 is 86259582864.

468285952680 is a `hidden beast` number, since 4 + 6 + 8 + 28 + 5 + 9 + 526 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 462275854 + ... + 462276866.

It is an arithmetic number, because the mean of its divisors is an integer number (2483093340).

Almost surely, 2^468285952680 is an apocalyptic number.

468285952680 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 468285952680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953507842560).

468285952680 is an abundant number, since it is smaller than the sum of its proper divisors (1438729732440).

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

468285952680 is a wasteful number, since it uses less digits than its factorization.

468285952680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 468285952680 in words is "four hundred sixty-eight billion, two hundred eighty-five million, nine hundred fifty-two thousand, six hundred eighty".