466680880512 has 1280 divisors, whose sum is σ = 1814214758400. Its totient is φ = 115557580800.

The previous prime is 466680880499. The next prime is 466680880529. The reversal of 466680880512 is 215088086664.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2697577258 + ... + 2697577430.

It is an arithmetic number, because the mean of its divisors is an integer number (1417355280).

Almost surely, 2^466680880512 is an apocalyptic number.

466680880512 is a gapful number since it is divisible by the number (42) 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 466680880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907107379200).

466680880512 is an abundant number, since it is smaller than the sum of its proper divisors (1347533877888).

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

466680880512 is a wasteful number, since it uses less digits than its factorization.

466680880512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 466680880512 in words is "four hundred sixty-six billion, six hundred eighty million, eight hundred eighty thousand, five hundred twelve".