33082378560 has 448 divisors, whose sum is σ = 145508106240. Its totient is φ = 6874122240.

The previous prime is 33082378541. The next prime is 33082378583. The reversal of 33082378560 is 6587328033.

33082378560 is a `hidden beast` number, since 3 + 3 + 0 + 82 + 3 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640417 + ... + 690143.

It is an arithmetic number, because the mean of its divisors is an integer number (324794880).

Almost surely, 2^33082378560 is an apocalyptic number.

33082378560 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 33082378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72754053120).

33082378560 is an abundant number, since it is smaller than the sum of its proper divisors (112425727680).

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

33082378560 is a wasteful number, since it uses less digits than its factorization.

33082378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49771 (or 49755 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 33082378560 in words is "thirty-three billion, eighty-two million, three hundred seventy-eight thousand, five hundred sixty".