466790266800 has 2160 divisors, whose sum is σ = 2063429432064. Its totient is φ = 100590336000.

The previous prime is 466790266781. The next prime is 466790266849. The reversal of 466790266800 is 8662097664.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6574510765 + ... + 6574510835.

Almost surely, 2^466790266800 is an apocalyptic number.

466790266800 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 466790266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031714716032).

466790266800 is an abundant number, since it is smaller than the sum of its proper divisors (1596639165264).

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

466790266800 is a wasteful number, since it uses less digits than its factorization.

466790266800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 466790266800 in words is "four hundred sixty-six billion, seven hundred ninety million, two hundred sixty-six thousand, eight hundred".