32945067720 has 192 divisors, whose sum is σ = 117027555840. Its totient is φ = 8001792000.

The previous prime is 32945067719. The next prime is 32945067767. The reversal of 32945067720 is 2776054923.

32945067720 is a `hidden beast` number, since 32 + 94 + 506 + 7 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102895 + ... + 276545.

It is an arithmetic number, because the mean of its divisors is an integer number (609518520).

Almost surely, 2^32945067720 is an apocalyptic number.

32945067720 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 32945067720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58513777920).

32945067720 is an abundant number, since it is smaller than the sum of its proper divisors (84082488120).

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

32945067720 is a wasteful number, since it uses less digits than its factorization.

32945067720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173716 (or 173709 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 32945067720 in words is "thirty-two billion, nine hundred forty-five million, sixty-seven thousand, seven hundred twenty".