33799949568 has 360 divisors, whose sum is σ = 125660377920. Its totient is φ = 8778792960.

The previous prime is 33799949549. The next prime is 33799949591. The reversal of 33799949568 is 86594999733.

33799949568 is a `hidden beast` number, since 3 + 3 + 79 + 9 + 9 + 495 + 68 = 666.

It is a super-2 number, since 2×33799949568² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 33799949496 and 33799949505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1586088 + ... + 1607256.

Almost surely, 2^33799949568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33799949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62830188960).

33799949568 is an abundant number, since it is smaller than the sum of its proper divisors (91860428352).

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

33799949568 is a wasteful number, since it uses less digits than its factorization.

33799949568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21215 (or 21192 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 72.

The spelling of 33799949568 in words is "thirty-three billion, seven hundred ninety-nine million, nine hundred forty-nine thousand, five hundred sixty-eight".