466563322560 has 224 divisors, whose sum is σ = 1551953037312. Its totient is φ = 118605864960.

The previous prime is 466563322549. The next prime is 466563322601. The reversal of 466563322560 is 65223365664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 1876924 + ... + 2110916.

Almost surely, 2^466563322560 is an apocalyptic number.

466563322560 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 466563322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775976518656).

466563322560 is an abundant number, since it is smaller than the sum of its proper divisors (1085389714752).

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

466563322560 is a wasteful number, since it uses less digits than its factorization.

466563322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234111 (or 234101 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 466563322560 in words is "four hundred sixty-six billion, five hundred sixty-three million, three hundred twenty-two thousand, five hundred sixty".