33768866790 has 192 divisors, whose sum is σ = 93971404800. Its totient is φ = 8720659584.

The previous prime is 33768866767. The next prime is 33768866819. The reversal of 33768866790 is 9766886733.

It is a super-2 number, since 2×33768866790² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 10172751 + ... + 10176069.

It is an arithmetic number, because the mean of its divisors is an integer number (489434400).

Almost surely, 2^33768866790 is an apocalyptic number.

33768866790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33768866790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46985702400).

33768866790 is an abundant number, since it is smaller than the sum of its proper divisors (60202538010).

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

33768866790 is a wasteful number, since it uses less digits than its factorization.

33768866790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 33768866790 in words is "thirty-three billion, seven hundred sixty-eight million, eight hundred sixty-six thousand, seven hundred ninety".