33827469480 has 640 divisors, whose sum is σ = 135036000000. Its totient is φ = 7589998080.

The previous prime is 33827469463. The next prime is 33827469493. The reversal of 33827469480 is 8496472833.

33827469480 is a `hidden beast` number, since 3 + 38 + 2 + 74 + 69 + 480 = 666.

It is a super-2 number, since 2×33827469480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67790271 + ... + 67790769.

It is an arithmetic number, because the mean of its divisors is an integer number (210993750).

Almost surely, 2^33827469480 is an apocalyptic number.

33827469480 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 33827469480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67518000000).

33827469480 is an abundant number, since it is smaller than the sum of its proper divisors (101208530520).

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

33827469480 is a wasteful number, since it uses less digits than its factorization.

33827469480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 33827469480 in words is "thirty-three billion, eight hundred twenty-seven million, four hundred sixty-nine thousand, four hundred eighty".