32640226560 has 432 divisors, whose sum is σ = 118387825920. Its totient is φ = 8609587200.

The previous prime is 32640226547. The next prime is 32640226583. The reversal of 32640226560 is 6562204623.

32640226560 is a `hidden beast` number, since 3 + 2 + 640 + 2 + 2 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31414521 + ... + 31415559.

Almost surely, 2^32640226560 is an apocalyptic number.

32640226560 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 32640226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59193912960).

32640226560 is an abundant number, since it is smaller than the sum of its proper divisors (85747599360).

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

32640226560 is a wasteful number, since it uses less digits than its factorization.

32640226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 32640226560 in words is "thirty-two billion, six hundred forty million, two hundred twenty-six thousand, five hundred sixty".