466013306880 has 720 divisors, whose sum is σ = 1811119643424. Its totient is φ = 109848821760.

The previous prime is 466013306879. The next prime is 466013306893. The reversal of 466013306880 is 88603310664.

466013306880 is a `hidden beast` number, since 4 + 6 + 601 + 3 + 30 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300072184 + ... + 300073736.

Almost surely, 2^466013306880 is an apocalyptic number.

466013306880 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 466013306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905559821712).

466013306880 is an abundant number, since it is smaller than the sum of its proper divisors (1345106336544).

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

466013306880 is a wasteful number, since it uses less digits than its factorization.

466013306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 466013306880 in words is "four hundred sixty-six billion, thirteen million, three hundred six thousand, eight hundred eighty".