32144200704 has 660 divisors, whose sum is σ = 121980893760. Its totient is φ = 8337530880.

The previous prime is 32144200667. The next prime is 32144200717. The reversal of 32144200704 is 40700244123.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44706457 + ... + 44707175.

It is an arithmetic number, because the mean of its divisors is an integer number (184819536).

Almost surely, 2^32144200704 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 32144200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60990446880).

32144200704 is an abundant number, since it is smaller than the sum of its proper divisors (89836693056).

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

32144200704 is a wasteful number, since it uses less digits than its factorization.

32144200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 32144200704 its reverse (40700244123), we get a palindrome (72844444827).

The spelling of 32144200704 in words is "thirty-two billion, one hundred forty-four million, two hundred thousand, seven hundred four".