32124664000 has 224 divisors, whose sum is σ = 93468578112. Its totient is φ = 10782720000.

The previous prime is 32124663997. The next prime is 32124664003. The reversal of 32124664000 is 46642123.

It is an interprime number because it is at equal distance from previous prime (32124663997) and next prime (32124664003).

It is a super-2 number, since 2×32124664000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32124664000.

It is not an unprimeable number, because it can be changed into a prime (32124664003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129960 + ... + 1158040.

It is an arithmetic number, because the mean of its divisors is an integer number (417270438).

Almost surely, 2^32124664000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32124664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46734289056).

32124664000 is an abundant number, since it is smaller than the sum of its proper divisors (61343914112).

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

32124664000 is a wasteful number, since it uses less digits than its factorization.

32124664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28132 (or 28112 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 32124664000 in words is "thirty-two billion, one hundred twenty-four million, six hundred sixty-four thousand".