32561464320 has 2112 divisors, whose sum is σ = 161297049600. Its totient is φ = 6131220480.

The previous prime is 32561464291. The next prime is 32561464417. The reversal of 32561464320 is 2346416523.

32561464320 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 1 + 4 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

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 191 ways as a sum of consecutive naturals, for example, 1415715829 + ... + 1415715851.

Almost surely, 2^32561464320 is an apocalyptic number.

32561464320 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 32561464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80648524800).

32561464320 is an abundant number, since it is smaller than the sum of its proper divisors (128735585280).

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

32561464320 is a wasteful number, since it uses less digits than its factorization.

32561464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

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

The spelling of 32561464320 in words is "thirty-two billion, five hundred sixty-one million, four hundred sixty-four thousand, three hundred twenty".