1335640704 has 256 divisors, whose sum is σ = 3912883200. Its totient is φ = 402554880.

The previous prime is 1335640703. The next prime is 1335640721. The reversal of 1335640704 is 4070465331.

It is not an unprimeable number, because it can be changed into a prime (1335640703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18296412 + ... + 18296484.

It is an arithmetic number, because the mean of its divisors is an integer number (15284700).

Almost surely, 2^1335640704 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 1335640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956441600).

1335640704 is an abundant number, since it is smaller than the sum of its proper divisors (2577242496).

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

1335640704 is a wasteful number, since it uses less digits than its factorization.

1335640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 1335640704 is about 36546.4184838952. The cubic root of 1335640704 is about 1101.2769479204.

The spelling of 1335640704 in words is "one billion, three hundred thirty-five million, six hundred forty thousand, seven hundred four".