1355640768 has 84 divisors (see below), whose sum is σ = 3907467928. Its totient is φ = 449349120.

The previous prime is 1355640763. The next prime is 1355640779. The reversal of 1355640768 is 8670465531.

1355640768 is a `hidden beast` number, since 13 + 5 + 564 + 0 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355640763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97755 + ... + 110757.

Almost surely, 2^1355640768 is an apocalyptic number.

1355640768 is a gapful number since it is divisible by the number (18) 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 1355640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953733964).

1355640768 is an abundant number, since it is smaller than the sum of its proper divisors (2551827160).

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

1355640768 is a wasteful number, since it uses less digits than its factorization.

1355640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13202 (or 13189 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1355640768 is about 36819.0272549398. The cubic root of 1355640768 is about 1106.7466266962.

The spelling of 1355640768 in words is "one billion, three hundred fifty-five million, six hundred forty thousand, seven hundred sixty-eight".