467675066880 has 1920 divisors, whose sum is σ = 2059068211200. Its totient is φ = 97758904320.

The previous prime is 467675066863. The next prime is 467675066899. The reversal of 467675066880 is 88660576764.

467675066880 is a `hidden beast` number, since 4 + 6 + 7 + 67 + 506 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 5634639319 + ... + 5634639401.

It is an arithmetic number, because the mean of its divisors is an integer number (1072431360).

Almost surely, 2^467675066880 is an apocalyptic number.

467675066880 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 467675066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029534105600).

467675066880 is an abundant number, since it is smaller than the sum of its proper divisors (1591393144320).

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

467675066880 is a wasteful number, since it uses less digits than its factorization.

467675066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 467675066880 in words is "four hundred sixty-seven billion, six hundred seventy-five million, sixty-six thousand, eight hundred eighty".