1333974768 has 160 divisors (see below), whose sum is σ = 4187589120. Its totient is φ = 357212160.

The previous prime is 1333974737. The next prime is 1333974793. The reversal of 1333974768 is 8674793331.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1333974768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335923 + ... + 2336493.

It is an arithmetic number, because the mean of its divisors is an integer number (26172432).

Almost surely, 2^1333974768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333974768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093794560).

1333974768 is an abundant number, since it is smaller than the sum of its proper divisors (2853614352).

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

1333974768 is a wasteful number, since it uses less digits than its factorization.

1333974768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1009 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The square root of 1333974768 is about 36523.6193168202. The cubic root of 1333974768 is about 1100.8188855532.

The spelling of 1333974768 in words is "one billion, three hundred thirty-three million, nine hundred seventy-four thousand, seven hundred sixty-eight".