32864400000 has 768 divisors, whose sum is σ = 129085488000. Its totient is φ = 8202240000.

The previous prime is 32864399989. The next prime is 32864400059. The reversal of 32864400000 is 446823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 183599911 + ... + 183600089.

Almost surely, 2^32864400000 is an apocalyptic number.

32864400000 is a gapful number since it is divisible by the number (30) 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 32864400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64542744000).

32864400000 is an abundant number, since it is smaller than the sum of its proper divisors (96221088000).

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

32864400000 is an equidigital number, since it uses as much as digits as its factorization.

32864400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 32864400000 its reverse (446823), we get a palindrome (32864846823).

The spelling of 32864400000 in words is "thirty-two billion, eight hundred sixty-four million, four hundred thousand".