32080752000 has 1024 divisors, whose sum is σ = 132744268800. Its totient is φ = 7547904000.

The previous prime is 32080751959. The next prime is 32080752007. The reversal of 32080752000 is 25708023.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32080752007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204335922 + ... + 204336078.

It is an arithmetic number, because the mean of its divisors is an integer number (129633075).

Almost surely, 2^32080752000 is an apocalyptic number.

32080752000 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 32080752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66372134400).

32080752000 is an abundant number, since it is smaller than the sum of its proper divisors (100663516800).

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

32080752000 is a wasteful number, since it uses less digits than its factorization.

32080752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 32080752000 in words is "thirty-two billion, eighty million, seven hundred fifty-two thousand".