33748540066560 has 432 divisors, whose sum is σ = 118041983474688. Its totient is φ = 8149650432000.

The previous prime is 33748540066489. The next prime is 33748540066603. The reversal of 33748540066560 is 6566004584733.

It is a super-2 number, since 2×33748540066560² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33748540066560.

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, 2921692785 + ... + 2921704335.

Almost surely, 2^{33748540066560} is an apocalyptic number.

33748540066560 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 33748540066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59020991737344).

33748540066560 is an abundant number, since it is smaller than the sum of its proper divisors (84293443408128).

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

33748540066560 is a wasteful number, since it uses less digits than its factorization.

33748540066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112 (or 11835 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 33748540066560 in words is "thirty-three trillion, seven hundred forty-eight billion, five hundred forty million, sixty-six thousand, five hundred sixty".