466438766976 has 960 divisors, whose sum is σ = 1819697568480. Its totient is φ = 115728777216.

The previous prime is 466438766897. The next prime is 466438767167. The reversal of 466438766976 is 679667834664.

It is a happy number.

466438766976 is a `hidden beast` number, since 4 + 66 + 438 + 7 + 6 + 69 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 208509730 + ... + 208511966.

Almost surely, 2^466438766976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466438766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909848784240).

466438766976 is an abundant number, since it is smaller than the sum of its proper divisors (1353258801504).

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

466438766976 is a wasteful number, since it uses less digits than its factorization.

466438766976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2279 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 466438766976 in words is "four hundred sixty-six billion, four hundred thirty-eight million, seven hundred sixty-six thousand, nine hundred seventy-six".