467367663680 has 112 divisors (see below), whose sum is σ = 1120851768960. Its totient is φ = 185619345408.

The previous prime is 467367663593. The next prime is 467367663701. The reversal of 467367663680 is 86366763764.

It is a happy number.

It is a super-2 number, since 2×467367663680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25828076 + ... + 25846164.

It is an arithmetic number, because the mean of its divisors is an integer number (10007605080).

Almost surely, 2^467367663680 is an apocalyptic number.

467367663680 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 467367663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560425884480).

467367663680 is an abundant number, since it is smaller than the sum of its proper divisors (653484105280).

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

467367663680 is a wasteful number, since it uses less digits than its factorization.

467367663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18676 (or 18666 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 62.

The spelling of 467367663680 in words is "four hundred sixty-seven billion, three hundred sixty-seven million, six hundred sixty-three thousand, six hundred eighty".