33816968640 has 1120 divisors, whose sum is σ = 151181775360. Its totient is φ = 7014076416.

The previous prime is 33816968621. The next prime is 33816968677. The reversal of 33816968640 is 4686961833.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×33816968640² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 573168931 + ... + 573168989.

It is an arithmetic number, because the mean of its divisors is an integer number (134983728).

Almost surely, 2^33816968640 is an apocalyptic number.

33816968640 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 33816968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75590887680).

33816968640 is an abundant number, since it is smaller than the sum of its proper divisors (117364806720).

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

33816968640 is an frugal number, since it uses more digits than its factorization.

33816968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 33816968640 in words is "thirty-three billion, eight hundred sixteen million, nine hundred sixty-eight thousand, six hundred forty".