32747742720 has 1200 divisors, whose sum is σ = 149353597008. Its totient is φ = 6781501440.

The previous prime is 32747742667. The next prime is 32747742721. The reversal of 32747742720 is 2724774723.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32747742721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111766894 + ... + 111767186.

Almost surely, 2^32747742720 is an apocalyptic number.

32747742720 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 32747742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74676798504).

32747742720 is an abundant number, since it is smaller than the sum of its proper divisors (116605854288).

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

32747742720 is a wasteful number, since it uses less digits than its factorization.

32747742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 45.

The spelling of 32747742720 in words is "thirty-two billion, seven hundred forty-seven million, seven hundred forty-two thousand, seven hundred twenty".