466660673267040 has 768 divisors, whose sum is σ = 1890406702356480. Its totient is φ = 106624711065600.

The previous prime is 466660673267027. The next prime is 466660673267137. The reversal of 466660673267040 is 40762376066664.

It is a super-2 number, since 2×466660673267040² (a number of 30 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6689385760 + ... + 6689455520.

It is an arithmetic number, because the mean of its divisors is an integer number (2461467060360).

Almost surely, 2^{466660673267040} is an apocalyptic number.

466660673267040 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 466660673267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945203351178240).

466660673267040 is an abundant number, since it is smaller than the sum of its proper divisors (1423746029089440).

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

466660673267040 is an equidigital number, since it uses as much as digits as its factorization.

466660673267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72535 (or 72509 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 63.

The spelling of 466660673267040 in words is "four hundred sixty-six trillion, six hundred sixty billion, six hundred seventy-three million, two hundred sixty-seven thousand, forty".