32961202560 has 512 divisors, whose sum is σ = 137156544000. Its totient is φ = 7375380480.

The previous prime is 32961202559. The next prime is 32961202591. The reversal of 32961202560 is 6520216923.

32961202560 is a `hidden beast` number, since 3 + 2 + 96 + 1 + 2 + 0 + 2 + 560 = 666.

It is a super-3 number, since 3×32961202560³ (a number of 33 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2464371 + ... + 2477709.

It is an arithmetic number, because the mean of its divisors is an integer number (267883875).

Almost surely, 2^32961202560 is an apocalyptic number.

32961202560 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 32961202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68578272000).

32961202560 is an abundant number, since it is smaller than the sum of its proper divisors (104195341440).

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

32961202560 is a wasteful number, since it uses less digits than its factorization.

32961202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13391 (or 13373 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 32961202560 in words is "thirty-two billion, nine hundred sixty-one million, two hundred two thousand, five hundred sixty".