467630047272960 has 4032 divisors, whose sum is σ = 2011492262707200. Its totient is φ = 103298802647040.

The previous prime is 467630047272959. The next prime is 467630047273001. The reversal of 467630047272960 is 69272740036764.

467630047272960 is a `hidden beast` number, since 4 + 6 + 7 + 6 + 3 + 0 + 0 + 472 + 72 + 96 + 0 = 666.

It is a super-2 number, since 2×467630047272960² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2349899734941 + ... + 2349899735139.

It is an arithmetic number, because the mean of its divisors is an integer number (498882009600).

Almost surely, 2^{467630047272960} is an apocalyptic number.

467630047272960 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 467630047272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005746131353600).

467630047272960 is an abundant number, since it is smaller than the sum of its proper divisors (1543862215434240).

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

467630047272960 is a wasteful number, since it uses less digits than its factorization.

467630047272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 467630047272960 in words is "four hundred sixty-seven trillion, six hundred thirty billion, forty-seven million, two hundred seventy-two thousand, nine hundred sixty".