33328050480 has 640 divisors, whose sum is σ = 128241792000. Its totient is φ = 7919493120.

The previous prime is 33328050409. The next prime is 33328050523. The reversal of 33328050480 is 8405082333.

33328050480 is a `hidden beast` number, since 333 + 280 + 5 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×33328050480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48796219 + ... + 48796901.

It is an arithmetic number, because the mean of its divisors is an integer number (200377800).

Almost surely, 2^33328050480 is an apocalyptic number.

33328050480 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 33328050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896000).

33328050480 is an abundant number, since it is smaller than the sum of its proper divisors (94913741520).

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

33328050480 is a wasteful number, since it uses less digits than its factorization.

33328050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 33328050480 in words is "thirty-three billion, three hundred twenty-eight million, fifty thousand, four hundred eighty".