467162472000 has 672 divisors, whose sum is σ = 1825103629440. Its totient is φ = 104954572800.

The previous prime is 467162471969. The next prime is 467162472019. The reversal of 467162472000 is 274261764.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 467162472000.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 69380634 + ... + 69387366.

It is an arithmetic number, because the mean of its divisors is an integer number (2715928020).

Almost surely, 2^467162472000 is an apocalyptic number.

467162472000 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 467162472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912551814720).

467162472000 is an abundant number, since it is smaller than the sum of its proper divisors (1357941157440).

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

467162472000 is a wasteful number, since it uses less digits than its factorization.

467162472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 467162472000 in words is "four hundred sixty-seven billion, one hundred sixty-two million, four hundred seventy-two thousand".