33968259360 has 768 divisors, whose sum is σ = 140762603520. Its totient is φ = 7489843200.

The previous prime is 33968259329. The next prime is 33968259379. The reversal of 33968259360 is 6395286933.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33968259297 and 33968259306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196348234 + ... + 196348406.

It is an arithmetic number, because the mean of its divisors is an integer number (183284640).

Almost surely, 2^33968259360 is an apocalyptic number.

33968259360 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 33968259360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70381301760).

33968259360 is an abundant number, since it is smaller than the sum of its proper divisors (106794344160).

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

33968259360 is a wasteful number, since it uses less digits than its factorization.

33968259360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 33968259360 in words is "thirty-three billion, nine hundred sixty-eight million, two hundred fifty-nine thousand, three hundred sixty".