32771676672 has 360 divisors, whose sum is σ = 115828970400. Its totient is φ = 8869367808.

The previous prime is 32771676659. The next prime is 32771676677. The reversal of 32771676672 is 27667617723.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32771676677) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4286229 + ... + 4293867.

It is an arithmetic number, because the mean of its divisors is an integer number (321747140).

Almost surely, 2^32771676672 is an apocalyptic number.

32771676672 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 32771676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57914485200).

32771676672 is an abundant number, since it is smaller than the sum of its proper divisors (83057293728).

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

32771676672 is a wasteful number, since it uses less digits than its factorization.

32771676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7670 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The spelling of 32771676672 in words is "thirty-two billion, seven hundred seventy-one million, six hundred seventy-six thousand, six hundred seventy-two".