466851379680 has 960 divisors, whose sum is σ = 1934783262720. Its totient is φ = 103814701056.

The previous prime is 466851379669. The next prime is 466851379703. The reversal of 466851379680 is 86973158664.

466851379680 is a `hidden beast` number, since 46 + 6 + 8 + 513 + 79 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 540962929 + ... + 540963791.

It is an arithmetic number, because the mean of its divisors is an integer number (2015399232).

Almost surely, 2^466851379680 is an apocalyptic number.

466851379680 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 466851379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967391631360).

466851379680 is an abundant number, since it is smaller than the sum of its proper divisors (1467931883040).

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

466851379680 is a wasteful number, since it uses less digits than its factorization.

466851379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 466851379680 in words is "four hundred sixty-six billion, eight hundred fifty-one million, three hundred seventy-nine thousand, six hundred eighty".