1335072768 has 192 divisors, whose sum is σ = 3773952000. Its totient is φ = 419069952.

The previous prime is 1335072757. The next prime is 1335072769. The reversal of 1335072768 is 8672705331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335072769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10512321 + ... + 10512447.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2^1335072768 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 1335072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

1335072768 is an abundant number, since it is smaller than the sum of its proper divisors (2438879232).

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

1335072768 is a wasteful number, since it uses less digits than its factorization.

1335072768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 1335072768 is about 36538.6475940202. The cubic root of 1335072768 is about 1101.1208322088.

The spelling of 1335072768 in words is "one billion, three hundred thirty-five million, seventy-two thousand, seven hundred sixty-eight".