32774365008 has 720 divisors, whose sum is σ = 125631155520. Its totient is φ = 7857561600.

The previous prime is 32774365007. The next prime is 32774365021. The reversal of 32774365008 is 80056347723.

32774365008 is a `hidden beast` number, since 32 + 77 + 43 + 6 + 500 + 8 = 666.

It is a super-3 number, since 3×32774365008³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32774365003) 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, 77848638 + ... + 77849058.

It is an arithmetic number, because the mean of its divisors is an integer number (174487716).

Almost surely, 2^32774365008 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 32774365008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62815577760).

32774365008 is an abundant number, since it is smaller than the sum of its proper divisors (92856790512).

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

32774365008 is a wasteful number, since it uses less digits than its factorization.

32774365008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 32774365008 in words is "thirty-two billion, seven hundred seventy-four million, three hundred sixty-five thousand, eight".