32534316672 has 512 divisors, whose sum is σ = 106270617600. Its totient is φ = 8685895680.

The previous prime is 32534316649. The next prime is 32534316673. The reversal of 32534316672 is 27661343523.

It is a super-2 number, since 2×32534316672² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32534316673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136126729 + ... + 136126967.

It is an arithmetic number, because the mean of its divisors is an integer number (207559800).

Almost surely, 2^32534316672 is an apocalyptic number.

32534316672 is a gapful number since it is divisible by the number (32) 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 32534316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53135308800).

32534316672 is an abundant number, since it is smaller than the sum of its proper divisors (73736300928).

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

32534316672 is a wasteful number, since it uses less digits than its factorization.

32534316672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The spelling of 32534316672 in words is "thirty-two billion, five hundred thirty-four million, three hundred sixteen thousand, six hundred seventy-two".