1333568880 has 320 divisors, whose sum is σ = 5313945600. Its totient is φ = 301086720.

The previous prime is 1333568807. The next prime is 1333568909. The reversal of 1333568880 is 888653331.

1333568880 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 568 + 8 + 80 = 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 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, 1345185 + ... + 1346175.

It is an arithmetic number, because the mean of its divisors is an integer number (16606080).

Almost surely, 2^1333568880 is an apocalyptic number.

1333568880 is a gapful number since it is divisible by the number (10) 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 1333568880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656972800).

1333568880 is an abundant number, since it is smaller than the sum of its proper divisors (3980376720).

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

1333568880 is a wasteful number, since it uses less digits than its factorization.

1333568880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1333568880 is about 36518.0623801428. The cubic root of 1333568880 is about 1100.7072256450.

It can be divided in two parts, 13335 and 68880, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 1333568880 in words is "one billion, three hundred thirty-three million, five hundred sixty-eight thousand, eight hundred eighty".