32668947360 has 144 divisors (see below), whose sum is σ = 127408934016. Its totient is φ = 7467185664.

The previous prime is 32668947281. The next prime is 32668947361. The reversal of 32668947360 is 6374986623.

32668947360 is a `hidden beast` number, since 32 + 6 + 6 + 89 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×32668947360² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32668947297 and 32668947306.

It is not an unprimeable number, because it can be changed into a prime (32668947361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1610404 + ... + 1630563.

It is an arithmetic number, because the mean of its divisors is an integer number (884784264).

Almost surely, 2^32668947360 is an apocalyptic number.

32668947360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32668947360 is an abundant number, since it is smaller than the sum of its proper divisors (94739986656).

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

32668947360 is a wasteful number, since it uses less digits than its factorization.

32668947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240995 (or 3240984 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 32668947360 in words is "thirty-two billion, six hundred sixty-eight million, nine hundred forty-seven thousand, three hundred sixty".