32274293964768 has 288 divisors, whose sum is σ = 98011593388800. Its totient is φ = 10055729111040.

The previous prime is 32274293964721. The next prime is 32274293964791. The reversal of 32274293964768 is 86746939247223.

32274293964768 is a `hidden beast` number, since 3 + 2 + 27 + 42 + 9 + 3 + 96 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 32274293964696 and 32274293964705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44899458 + ... + 45612606.

It is an arithmetic number, because the mean of its divisors is an integer number (340318032600).

Almost surely, 2^{32274293964768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32274293964768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49005796694400).

32274293964768 is an abundant number, since it is smaller than the sum of its proper divisors (65737299424032).

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

32274293964768 is a wasteful number, since it uses less digits than its factorization.

32274293964768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713370 (or 713359 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 32274293964768 in words is "thirty-two trillion, two hundred seventy-four billion, two hundred ninety-three million, nine hundred sixty-four thousand, seven hundred sixty-eight".