32226754560 has 960 divisors, whose sum is σ = 139515070464. Its totient is φ = 6134169600.

The previous prime is 32226754519. The next prime is 32226754577. The reversal of 32226754560 is 6545762223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246005695 + ... + 246005825.

Almost surely, 2^32226754560 is an apocalyptic number.

32226754560 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 32226754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69757535232).

32226754560 is an abundant number, since it is smaller than the sum of its proper divisors (107288315904).

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

32226754560 is a wasteful number, since it uses less digits than its factorization.

32226754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 32226754560 in words is "thirty-two billion, two hundred twenty-six million, seven hundred fifty-four thousand, five hundred sixty".