32073000960 has 1152 divisors, whose sum is σ = 141169392000. Its totient is φ = 6110576640.

The previous prime is 32073000959. The next prime is 32073001007. The reversal of 32073000960 is 6900037023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215254966 + ... + 215255114.

It is an arithmetic number, because the mean of its divisors is an integer number (122542875).

Almost surely, 2^32073000960 is an apocalyptic number.

32073000960 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 32073000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70584696000).

32073000960 is an abundant number, since it is smaller than the sum of its proper divisors (109096391040).

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

32073000960 is a wasteful number, since it uses less digits than its factorization.

32073000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

Adding to 32073000960 its reverse (6900037023), we get a palindrome (38973037983).

The spelling of 32073000960 in words is "thirty-two billion, seventy-three million, nine hundred sixty", and thus it is an aban number.