1333345680 has 60 divisors (see below), whose sum is σ = 4477821660. Its totient is φ = 355558656.

The previous prime is 1333345669. The next prime is 1333345687. The reversal of 1333345680 is 865433331.

It can be written as a sum of positive squares in 2 ways, for example, as 525876624 + 807469056 = 22932^2 + 28416^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333345687) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 925215 + ... + 926654.

It is an arithmetic number, because the mean of its divisors is an integer number (74630361).

Almost surely, 2^1333345680 is an apocalyptic number.

1333345680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1333345680 is an abundant number, since it is smaller than the sum of its proper divisors (3144475980).

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

1333345680 is a wasteful number, since it uses less digits than its factorization.

1333345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851888 (or 1851879 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 1333345680 is about 36515.0062303158. The cubic root of 1333345680 is about 1100.6458136040.

It can be divided in two parts, 1333345 and 680, that added together give a square (1334025 = 1155²).

The spelling of 1333345680 in words is "one billion, three hundred thirty-three million, three hundred forty-five thousand, six hundred eighty".