467889361632 has 576 divisors, whose sum is σ = 1730647586304. Its totient is φ = 120800471040.

The previous prime is 467889361619. The next prime is 467889361649. The reversal of 467889361632 is 236163988764.

467889361632 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 8 + 9 + 3 + 616 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 467889361632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103581838 + ... + 103586354.

It is an arithmetic number, because the mean of its divisors is an integer number (3004596504).

Almost surely, 2^467889361632 is an apocalyptic number.

467889361632 is a gapful number since it is divisible by the number (42) 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 467889361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865323793152).

467889361632 is an abundant number, since it is smaller than the sum of its proper divisors (1262758224672).

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

467889361632 is a wasteful number, since it uses less digits than its factorization.

467889361632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4713 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 467889361632 in words is "four hundred sixty-seven billion, eight hundred eighty-nine million, three hundred sixty-one thousand, six hundred thirty-two".