33983772480 has 448 divisors, whose sum is σ = 145077972480. Its totient is φ = 7310573568.

The previous prime is 33983772401. The next prime is 33983772481. The reversal of 33983772480 is 8427738933.

33983772480 is a `hidden beast` number, since 3 + 3 + 98 + 3 + 7 + 72 + 480 = 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33983772481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011634 + ... + 1044686.

It is an arithmetic number, because the mean of its divisors is an integer number (323834760).

Almost surely, 2^33983772480 is an apocalyptic number.

33983772480 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 33983772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72538986240).

33983772480 is an abundant number, since it is smaller than the sum of its proper divisors (111094200000).

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

33983772480 is a wasteful number, since it uses less digits than its factorization.

33983772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33103 (or 33087 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 33983772480 in words is "thirty-three billion, nine hundred eighty-three million, seven hundred seventy-two thousand, four hundred eighty".