33065772480 has 448 divisors, whose sum is σ = 133018865280. Its totient is φ = 7660044288.

The previous prime is 33065772469. The next prime is 33065772521. The reversal of 33065772480 is 8427756033.

33065772480 is a `hidden beast` number, since 3 + 30 + 6 + 577 + 2 + 48 + 0 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1900782 + ... + 1918098.

It is an arithmetic number, because the mean of its divisors is an integer number (296917110).

Almost surely, 2^33065772480 is an apocalyptic number.

33065772480 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 33065772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66509432640).

33065772480 is an abundant number, since it is smaller than the sum of its proper divisors (99953092800).

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

33065772480 is a wasteful number, since it uses less digits than its factorization.

33065772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17373 (or 17357 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 33065772480 in words is "thirty-three billion, sixty-five million, seven hundred seventy-two thousand, four hundred eighty".