466395871656960 has 2904 divisors, whose sum is σ = 2056173819970320. Its totient is φ = 100933043355648.

The previous prime is 466395871656937. The next prime is 466395871657019. The reversal of 466395871656960 is 69656178593664.

466395871656960 is a `hidden beast` number, since 4 + 6 + 6 + 39 + 5 + 8 + 7 + 16 + 569 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 466395871656960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 281470048452 + ... + 281470050108.

Almost surely, 2^{466395871656960} is an apocalyptic number.

466395871656960 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 466395871656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028086909985160).

466395871656960 is an abundant number, since it is smaller than the sum of its proper divisors (1589777948313360).

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

466395871656960 is an equidigital number, since it uses as much as digits as its factorization.

466395871656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 10581580800, while the sum is 81.

The spelling of 466395871656960 in words is "four hundred sixty-six trillion, three hundred ninety-five billion, eight hundred seventy-one million, six hundred fifty-six thousand, nine hundred sixty".