1350468768 has 96 divisors (see below), whose sum is σ = 3875014080. Its totient is φ = 408412160.

The previous prime is 1350468767. The next prime is 1350468803. The reversal of 1350468768 is 8678640531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1350468761) 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, 713968 + ... + 715856.

It is an arithmetic number, because the mean of its divisors is an integer number (40364730).

Almost surely, 2^1350468768 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 1350468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937507040).

1350468768 is an abundant number, since it is smaller than the sum of its proper divisors (2524545312).

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

1350468768 is a wasteful number, since it uses less digits than its factorization.

1350468768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 1350468768 is about 36748.7247125666. The cubic root of 1350468768 is about 1105.3373574609.

The spelling of 1350468768 in words is "one billion, three hundred fifty million, four hundred sixty-eight thousand, seven hundred sixty-eight".