32740534721664 has 1152 divisors, whose sum is σ = 122440872852480. Its totient is φ = 8211456000000.

The previous prime is 32740534721663. The next prime is 32740534721683. The reversal of 32740534721664 is 46612743504723.

32740534721664 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 0 + 5 + 3 + 472 + 166 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×32740534721664² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32740534721664.

It is not an unprimeable number, because it can be changed into a prime (32740534721663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18179085564 + ... + 18179087364.

Almost surely, 2^{32740534721664} 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 32740534721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61220436426240).

32740534721664 is an abundant number, since it is smaller than the sum of its proper divisors (89700338130816).

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

32740534721664 is a wasteful number, since it uses less digits than its factorization.

32740534721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 32740534721664 in words is "thirty-two trillion, seven hundred forty billion, five hundred thirty-four million, seven hundred twenty-one thousand, six hundred sixty-four".