33223085640 has 192 divisors, whose sum is σ = 111832680960. Its totient is φ = 8544890880.

The previous prime is 33223085629. The next prime is 33223085677. The reversal of 33223085640 is 4658032233.

It is a happy number.

33223085640 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 3 + 0 + 8 + 5 + 640 = 666.

It is a super-2 number, since 2×33223085640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33223085595 and 33223085604.

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, 3421272 + ... + 3430968.

It is an arithmetic number, because the mean of its divisors is an integer number (582461880).

Almost surely, 2^33223085640 is an apocalyptic number.

33223085640 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 33223085640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55916340480).

33223085640 is an abundant number, since it is smaller than the sum of its proper divisors (78609595320).

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

33223085640 is a wasteful number, since it uses less digits than its factorization.

33223085640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10052 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 33223085640 in words is "thirty-three billion, two hundred twenty-three million, eighty-five thousand, six hundred forty".