468416286720 has 624 divisors, whose sum is σ = 1712491976832. Its totient is φ = 122783662080.

The previous prime is 468416286703. The next prime is 468416286773. The reversal of 468416286720 is 27682614864.

It is a happy number.

468416286720 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 1 + 628 + 6 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303574269 + ... + 303575811.

It is an arithmetic number, because the mean of its divisors is an integer number (2744378168).

Almost surely, 2^468416286720 is an apocalyptic number.

468416286720 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 468416286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856245988416).

468416286720 is an abundant number, since it is smaller than the sum of its proper divisors (1244075690112).

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

468416286720 is an equidigital number, since it uses as much as digits as its factorization.

468416286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 468416286720 in words is "four hundred sixty-eight billion, four hundred sixteen million, two hundred eighty-six thousand, seven hundred twenty".