33668683672 has 64 divisors (see below), whose sum is σ = 68743584000. Its totient is φ = 15366409344.

The previous prime is 33668683669. The next prime is 33668683693. The reversal of 33668683672 is 27638686633.

It is a super-2 number, since 2×33668683672² (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 15 ways as a sum of consecutive naturals, for example, 9199779 + ... + 9203437.

It is an arithmetic number, because the mean of its divisors is an integer number (1074118500).

Almost surely, 2^33668683672 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 33668683672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34371792000).

33668683672 is an abundant number, since it is smaller than the sum of its proper divisors (35074900328).

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

33668683672 is a wasteful number, since it uses less digits than its factorization.

33668683672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4636 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 58.

The spelling of 33668683672 in words is "thirty-three billion, six hundred sixty-eight million, six hundred eighty-three thousand, six hundred seventy-two".