32834132684640 has 1536 divisors, whose sum is σ = 141168564633600. Its totient is φ = 6960896040960.

The previous prime is 32834132684629. The next prime is 32834132684641. The reversal of 32834132684640 is 4648623143823.

32834132684640 is a `hidden beast` number, since 3 + 2 + 83 + 41 + 3 + 2 + 68 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32834132684641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7955930257 + ... + 7955934383.

It is an arithmetic number, because the mean of its divisors is an integer number (91906617600).

Almost surely, 2^{32834132684640} is an apocalyptic number.

32834132684640 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 32834132684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70584282316800).

32834132684640 is an abundant number, since it is smaller than the sum of its proper divisors (108334431948960).

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

32834132684640 is a wasteful number, since it uses less digits than its factorization.

32834132684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 32834132684640 in words is "thirty-two trillion, eight hundred thirty-four billion, one hundred thirty-two million, six hundred eighty-four thousand, six hundred forty".