32364010000 has 225 divisors, whose sum is σ = 91505450289. Its totient is φ = 11053056000.

The previous prime is 32364009983. The next prime is 32364010093. The reversal of 32364010000 is 1046323.

The square root of 32364010000 is 179900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5109962256 + 27254047744 = 71484^2 + 165088^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32364010000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 125929872 + ... + 125930128.

Almost surely, 2^32364010000 is an apocalyptic number.

32364010000 is the 179900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32364010000

32364010000 is an abundant number, since it is smaller than the sum of its proper divisors (59141440289).

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

32364010000 is an frugal number, since it uses more digits than its factorization.

32364010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 32364010000 its reverse (1046323), we get a palindrome (32365056323).

The spelling of 32364010000 in words is "thirty-two billion, three hundred sixty-four million, ten thousand".