466280064000 has 1232 divisors, whose sum is σ = 1842877745280. Its totient is φ = 117349171200.

The previous prime is 466280063999. The next prime is 466280064011. The reversal of 466280064000 is 460082664.

It is a happy number.

466280064000 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 8 + 0 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1772927869 + ... + 1772928131.

Almost surely, 2^466280064000 is an apocalyptic number.

466280064000 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 466280064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921438872640).

466280064000 is an abundant number, since it is smaller than the sum of its proper divisors (1376597681280).

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

466280064000 is an equidigital number, since it uses as much as digits as its factorization.

466280064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 466280064000 in words is "four hundred sixty-six billion, two hundred eighty million, sixty-four thousand".