32720718240 has 576 divisors, whose sum is σ = 134478489600. Its totient is φ = 7234375680.

The previous prime is 32720718221. The next prime is 32720718257. The reversal of 32720718240 is 4281702723.

32720718240 is a `hidden beast` number, since 327 + 20 + 71 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32720718195 and 32720718204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15310452 + ... + 15312588.

It is an arithmetic number, because the mean of its divisors is an integer number (233469600).

Almost surely, 2^32720718240 is an apocalyptic number.

32720718240 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 32720718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67239244800).

32720718240 is an abundant number, since it is smaller than the sum of its proper divisors (101757771360).

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

32720718240 is a wasteful number, since it uses less digits than its factorization.

32720718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 32720718240 in words is "thirty-two billion, seven hundred twenty million, seven hundred eighteen thousand, two hundred forty".