32745909740544 has 2112 divisors, whose sum is σ = 134391255398400. Its totient is φ = 7848240906240.

The previous prime is 32745909740543. The next prime is 32745909740617. The reversal of 32745909740544 is 44504790954723.

32745909740544 is a `hidden beast` number, since 3 + 2 + 7 + 45 + 9 + 0 + 9 + 7 + 40 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (32745909740543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12204959427 + ... + 12204962109.

It is an arithmetic number, because the mean of its divisors is an integer number (63632223200).

Almost surely, 2^{32745909740544} 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 32745909740544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67195627699200).

32745909740544 is an abundant number, since it is smaller than the sum of its proper divisors (101645345657856).

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

32745909740544 is a wasteful number, since it uses less digits than its factorization.

32745909740544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 32745909740544 in words is "thirty-two trillion, seven hundred forty-five billion, nine hundred nine million, seven hundred forty thousand, five hundred forty-four".