464066181745920 has 1008 divisors, whose sum is σ = 1799117147237760. Its totient is φ = 113957798068224.

The previous prime is 464066181745891. The next prime is 464066181745931. The reversal of 464066181745920 is 29547181660464.

464066181745920 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 6 + 618 + 1 + 7 + 4 + 5 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5082658989 + ... + 5082750291.

It is an arithmetic number, because the mean of its divisors is an integer number (1784838439720).

Almost surely, 2^{464066181745920} is an apocalyptic number.

464066181745920 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 464066181745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899558573618880).

464066181745920 is an abundant number, since it is smaller than the sum of its proper divisors (1335050965491840).

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

464066181745920 is an equidigital number, since it uses as much as digits as its factorization.

464066181745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91774 (or 91745 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 464066181745920 in words is "four hundred sixty-four trillion, sixty-six billion, one hundred eighty-one million, seven hundred forty-five thousand, nine hundred twenty".