32205766720 has 112 divisors (see below), whose sum is σ = 79596691200. Its totient is φ = 12396984320.

The previous prime is 32205766711. The next prime is 32205766757. The reversal of 32205766720 is 2766750223.

It is a super-2 number, since 2×32205766720² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2880501 + ... + 2891659.

Almost surely, 2^32205766720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32205766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39798345600).

32205766720 is an abundant number, since it is smaller than the sum of its proper divisors (47390924480).

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

32205766720 is a wasteful number, since it uses less digits than its factorization.

32205766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11516 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 32205766720 in words is "thirty-two billion, two hundred five million, seven hundred sixty-six thousand, seven hundred twenty".