33494091079680 has 4032 divisors, whose sum is σ = 157611547941120. Its totient is φ = 6670767882240.

The previous prime is 33494091079661. The next prime is 33494091079681. The reversal of 33494091079680 is 8697019049433.

33494091079680 is a `hidden beast` number, since 3 + 3 + 49 + 409 + 107 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×33494091079680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (33494091079681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 244482416572 + ... + 244482416708.

It is an arithmetic number, because the mean of its divisors is an integer number (39090165660).

Almost surely, 2^{33494091079680} is an apocalyptic number.

33494091079680 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 33494091079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78805773970560).

33494091079680 is an abundant number, since it is smaller than the sum of its proper divisors (124117456861440).

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

33494091079680 is a wasteful number, since it uses less digits than its factorization.

33494091079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 33494091079680 in words is "thirty-three trillion, four hundred ninety-four billion, ninety-one million, seventy-nine thousand, six hundred eighty".