32745834240 has 576 divisors, whose sum is σ = 127302282240. Its totient is φ = 7007109120.

The previous prime is 32745834217. The next prime is 32745834283. The reversal of 32745834240 is 4243854723.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 32745834192 and 32745834201.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 49539510 + ... + 49540170.

Almost surely, 2^32745834240 is an apocalyptic number.

32745834240 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 32745834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63651141120).

32745834240 is an abundant number, since it is smaller than the sum of its proper divisors (94556448000).

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

32745834240 is a wasteful number, since it uses less digits than its factorization.

32745834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 32745834240 in words is "thirty-two billion, seven hundred forty-five million, eight hundred thirty-four thousand, two hundred forty".