8032032000000 has 756 divisors, whose sum is σ = 29171782748745. Its totient is φ = 2129049600000.

The previous prime is 8032031999993. The next prime is 8032032000019. The reversal of 8032032000000 is 2302308.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 1369686352896 + 6662345647104 = 1170336^2 + 2581152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2004000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 48095999917 + ... + 48096000083.

Almost surely, 2^{8032032000000} is an apocalyptic number.

8032032000000 is a gapful number since it is divisible by the number (80) 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 8032032000000

8032032000000 is an abundant number, since it is smaller than the sum of its proper divisors (21139750748745).

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

8032032000000 is an frugal number, since it uses more digits than its factorization.

8032032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Multiplying 8032032000000 by its sum of digits (18), we get a square (144576576000000 = 12024000²).

8032032000000 divided by its sum of digits (18) gives a square (446224000000 = 668000²).

8032032000000 divided by its product of nonzero digits (288) gives a square (27889000000 = 167000²).

Adding to 8032032000000 its reverse (2302308), we get a palindrome (8032034302308).

The spelling of 8032032000000 in words is "eight trillion, thirty-two billion, thirty-two million", and thus it is an aban number and an uban number.