466115676480 has 168 divisors, whose sum is σ = 1604207476872. Its totient is φ = 124222795776.

The previous prime is 466115676473. The next prime is 466115676487. The reversal of 466115676480 is 84676511664.

466115676480 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 156 + 7 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (466115676473) and next prime (466115676487).

It can be written as a sum of positive squares in 4 ways, for example, as 4346501184 + 461769175296 = 65928^2 + 679536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466115676487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4828042 + ... + 4923638.

It is an arithmetic number, because the mean of its divisors is an integer number (9548854029).

Almost surely, 2^466115676480 is an apocalyptic number.

466115676480 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 466115676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802103738436).

466115676480 is an abundant number, since it is smaller than the sum of its proper divisors (1138091800392).

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

466115676480 is a wasteful number, since it uses less digits than its factorization.

466115676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97313 (or 97300 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 466115676480 in words is "four hundred sixty-six billion, one hundred fifteen million, six hundred seventy-six thousand, four hundred eighty".