466566216480 has 1536 divisors, whose sum is σ = 2094107904000. Its totient is φ = 96371638272.

The previous prime is 466566216421. The next prime is 466566216499. The reversal of 466566216480 is 84612665664.

466566216480 is a `hidden beast` number, since 4 + 6 + 6 + 5 + 6 + 621 + 6 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 1020932412 + ... + 1020932868.

It is an arithmetic number, because the mean of its divisors is an integer number (1363351500).

Almost surely, 2^466566216480 is an apocalyptic number.

466566216480 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 466566216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047053952000).

466566216480 is an abundant number, since it is smaller than the sum of its proper divisors (1627541687520).

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

466566216480 is a wasteful number, since it uses less digits than its factorization.

466566216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 466566216480 in words is "four hundred sixty-six billion, five hundred sixty-six million, two hundred sixteen thousand, four hundred eighty".