32765248072480 has 192 divisors, whose sum is σ = 96562200349440. Its totient is φ = 10206867456000.

The previous prime is 32765248072439. The next prime is 32765248072489. The reversal of 32765248072480 is 8427084256723.

It is a super-2 number, since 2×32765248072480² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32765248072489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21449976 + ... + 22926664.

It is an arithmetic number, because the mean of its divisors is an integer number (502928126820).

Almost surely, 2^{32765248072480} 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 32765248072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48281100174720).

32765248072480 is an abundant number, since it is smaller than the sum of its proper divisors (63796952276960).

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

32765248072480 is a wasteful number, since it uses less digits than its factorization.

32765248072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478523 (or 1478515 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 58.

The spelling of 32765248072480 in words is "thirty-two trillion, seven hundred sixty-five billion, two hundred forty-eight million, seventy-two thousand, four hundred eighty".