466014608640 has 576 divisors, whose sum is σ = 1918223032320. Its totient is φ = 104924160000.

The previous prime is 466014608617. The next prime is 466014608687. The reversal of 466014608640 is 46806410664.

466014608640 is a `hidden beast` number, since 466 + 0 + 14 + 60 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 16194265 + ... + 16223015.

It is an arithmetic number, because the mean of its divisors is an integer number (3330248320).

Almost surely, 2^466014608640 is an apocalyptic number.

466014608640 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 466014608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959111516160).

466014608640 is an abundant number, since it is smaller than the sum of its proper divisors (1452208423680).

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

466014608640 is a wasteful number, since it uses less digits than its factorization.

466014608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28855 (or 28835 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 466014608640 in words is "four hundred sixty-six billion, fourteen million, six hundred eight thousand, six hundred forty".