467855776872 has 256 divisors, whose sum is σ = 1464307891200. Its totient is φ = 137180010240.

The previous prime is 467855776853. The next prime is 467855776873. The reversal of 467855776872 is 278677558764.

467855776872 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 557 + 7 + 68 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 467855776872.

It is not an unprimeable number, because it can be changed into a prime (467855776873) 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 63 ways as a sum of consecutive naturals, for example, 10910578 + ... + 10953374.

It is an arithmetic number, because the mean of its divisors is an integer number (5719952700).

Almost surely, 2^467855776872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467855776872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732153945600).

467855776872 is an abundant number, since it is smaller than the sum of its proper divisors (996452114328).

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

467855776872 is a wasteful number, since it uses less digits than its factorization.

467855776872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42973 (or 42963 counting only the distinct ones).

The product of its digits is 1106380800, while the sum is 72.

The spelling of 467855776872 in words is "four hundred sixty-seven billion, eight hundred fifty-five million, seven hundred seventy-six thousand, eight hundred seventy-two".