32542786080 has 576 divisors, whose sum is σ = 130093786368. Its totient is φ = 7254835200.

The previous prime is 32542786069. The next prime is 32542786093. The reversal of 32542786080 is 8068724523.

32542786080 is a `hidden beast` number, since 32 + 5 + 4 + 2 + 7 + 8 + 608 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 81153880 + ... + 81154280.

It is an arithmetic number, because the mean of its divisors is an integer number (225857268).

Almost surely, 2^32542786080 is an apocalyptic number.

32542786080 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 32542786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65046893184).

32542786080 is an abundant number, since it is smaller than the sum of its proper divisors (97551000288).

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

32542786080 is a wasteful number, since it uses less digits than its factorization.

32542786080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 32542786080 in words is "thirty-two billion, five hundred forty-two million, seven hundred eighty-six thousand, eighty".