32226400800 has 720 divisors, whose sum is σ = 132713380800. Its totient is φ = 7538227200.

The previous prime is 32226400793. The next prime is 32226400807. The reversal of 32226400800 is 800462223.

32226400800 is a `hidden beast` number, since 32 + 226 + 400 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32226400793) and next prime (32226400807).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32226400807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20670421 + ... + 20671979.

It is an arithmetic number, because the mean of its divisors is an integer number (184324140).

Almost surely, 2^32226400800 is an apocalyptic number.

32226400800 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 32226400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66356690400).

32226400800 is an abundant number, since it is smaller than the sum of its proper divisors (100486980000).

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

32226400800 is a wasteful number, since it uses less digits than its factorization.

32226400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 32226400800 in words is "thirty-two billion, two hundred twenty-six million, four hundred thousand, eight hundred".