32760349440 has 864 divisors, whose sum is σ = 133881672960. Its totient is φ = 6764986368.

The previous prime is 32760349403. The next prime is 32760349441. The reversal of 32760349440 is 4494306723.

It is a happy number.

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 = 32760349392 and 32760349401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32760349441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144318607 + ... + 144318833.

It is an arithmetic number, because the mean of its divisors is an integer number (154955640).

Almost surely, 2^32760349440 is an apocalyptic number.

32760349440 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 32760349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66940836480).

32760349440 is an abundant number, since it is smaller than the sum of its proper divisors (101121323520).

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

32760349440 is a wasteful number, since it uses less digits than its factorization.

32760349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 32760349440 in words is "thirty-two billion, seven hundred sixty million, three hundred forty-nine thousand, four hundred forty".