33361600768680 has 256 divisors, whose sum is σ = 108874285159680. Its totient is φ = 8143960817664.

The previous prime is 33361600768649. The next prime is 33361600768687. The reversal of 33361600768680 is 8686700616333.

It is a super-2 number, since 2×33361600768680² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33361600768680.

It is not an unprimeable number, because it can be changed into a prime (33361600768687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220099399 + ... + 220250921.

It is an arithmetic number, because the mean of its divisors is an integer number (425290176405).

Almost surely, 2^{33361600768680} is an apocalyptic number.

33361600768680 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 33361600768680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54437142579840).

33361600768680 is an abundant number, since it is smaller than the sum of its proper divisors (75512684391000).

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

33361600768680 is a wasteful number, since it uses less digits than its factorization.

33361600768680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154508 (or 154504 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 33361600768680 in words is "thirty-three trillion, three hundred sixty-one billion, six hundred million, seven hundred sixty-eight thousand, six hundred eighty".