467444880672 has 288 divisors, whose sum is σ = 1608433376256. Its totient is φ = 116134909440.

The previous prime is 467444880671. The next prime is 467444880677. The reversal of 467444880672 is 276088444764.

It is a super-3 number, since 3×467444880672³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (467444880671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745203 + ... + 1995149.

It is an arithmetic number, because the mean of its divisors is an integer number (5584838112).

Almost surely, 2^467444880672 is an apocalyptic number.

467444880672 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 467444880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804216688128).

467444880672 is an abundant number, since it is smaller than the sum of its proper divisors (1140988495584).

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

467444880672 is a wasteful number, since it uses less digits than its factorization.

467444880672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250012 (or 249993 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 60.

The spelling of 467444880672 in words is "four hundred sixty-seven billion, four hundred forty-four million, eight hundred eighty thousand, six hundred seventy-two".