32467542912 has 384 divisors, whose sum is σ = 112898822400. Its totient is φ = 8773235712.

The previous prime is 32467542911. The next prime is 32467542929. The reversal of 32467542912 is 21924576423.

32467542912 is a `hidden beast` number, since 32 + 4 + 67 + 542 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×32467542912⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32467542911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55310683 + ... + 55311269.

It is an arithmetic number, because the mean of its divisors is an integer number (294007350).

Almost surely, 2^32467542912 is an apocalyptic number.

32467542912 is a gapful number since it is divisible by the number (32) 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 32467542912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56449411200).

32467542912 is an abundant number, since it is smaller than the sum of its proper divisors (80431279488).

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

32467542912 is an equidigital number, since it uses as much as digits as its factorization.

32467542912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 618 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 32467542912 in words is "thirty-two billion, four hundred sixty-seven million, five hundred forty-two thousand, nine hundred twelve".