466494567755840 has 448 divisors, whose sum is σ = 1283511182365440. Its totient is φ = 160037475287040.

The previous prime is 466494567755809. The next prime is 466494567755851. The reversal of 466494567755840 is 48557765494664.

It is a happy number.

It is a super-2 number, since 2×466494567755840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11482357607 + ... + 11482398233.

It is an arithmetic number, because the mean of its divisors is an integer number (2864980317780).

Almost surely, 2^{466494567755840} is an apocalyptic number.

466494567755840 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 466494567755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641755591182720).

466494567755840 is an abundant number, since it is smaller than the sum of its proper divisors (817016614609600).

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

466494567755840 is a wasteful number, since it uses less digits than its factorization.

466494567755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43470 (or 43460 counting only the distinct ones).

The product of its (nonzero) digits is 24385536000, while the sum is 80.

The spelling of 466494567755840 in words is "four hundred sixty-six trillion, four hundred ninety-four billion, five hundred sixty-seven million, seven hundred fifty-five thousand, eight hundred forty".