32794990800 has 720 divisors, whose sum is σ = 126655125696. Its totient is φ = 7188480000.

The previous prime is 32794990763. The next prime is 32794990817. The reversal of 32794990800 is 809949723.

It is a super-2 number, since 2×32794990800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136078680 + ... + 136078920.

Almost surely, 2^32794990800 is an apocalyptic number.

32794990800 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 32794990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63327562848).

32794990800 is an abundant number, since it is smaller than the sum of its proper divisors (93860134896).

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

32794990800 is a wasteful number, since it uses less digits than its factorization.

32794990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 32794990800 in words is "thirty-two billion, seven hundred ninety-four million, nine hundred ninety thousand, eight hundred".