32792326560 has 288 divisors, whose sum is σ = 128234171520. Its totient is φ = 7475226624.

The previous prime is 32792326543. The next prime is 32792326573. The reversal of 32792326560 is 6562329723.

32792326560 is a `hidden beast` number, since 3 + 279 + 2 + 326 + 56 + 0 = 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 (45).

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, 3916939 + ... + 3925301.

It is an arithmetic number, because the mean of its divisors is an integer number (445257540).

Almost surely, 2^32792326560 is an apocalyptic number.

32792326560 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 32792326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64117085760).

32792326560 is an abundant number, since it is smaller than the sum of its proper divisors (95441844960).

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

32792326560 is a wasteful number, since it uses less digits than its factorization.

32792326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8769 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 32792326560 in words is "thirty-two billion, seven hundred ninety-two million, three hundred twenty-six thousand, five hundred sixty".