32794645800 has 192 divisors, whose sum is σ = 119935180800. Its totient is φ = 7254086400.

The previous prime is 32794645799. The next prime is 32794645801. The reversal of 32794645800 is 854649723.

It is an interprime number because it is at equal distance from previous prime (32794645799) and next prime (32794645801).

It is a self number, because there is not a number n which added to its sum of digits gives 32794645800.

It is not an unprimeable number, because it can be changed into a prime (32794645801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4261 + ... + 256139.

It is an arithmetic number, because the mean of its divisors is an integer number (624662400).

Almost surely, 2^32794645800 is an apocalyptic number.

32794645800 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 32794645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59967590400).

32794645800 is an abundant number, since it is smaller than the sum of its proper divisors (87140535000).

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

32794645800 is a wasteful number, since it uses less digits than its factorization.

32794645800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251936 (or 251927 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 32794645800 in words is "thirty-two billion, seven hundred ninety-four million, six hundred forty-five thousand, eight hundred".