742948768 has 48 divisors (see below), whose sum is σ = 1512090720. Its totient is φ = 359136000.

The previous prime is 742948751. The next prime is 742948781. The reversal of 742948768 is 867849247.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111943 + ... + 118393.

It is an arithmetic number, because the mean of its divisors is an integer number (31501890).

Almost surely, 2^742948768 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 742948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756045360).

742948768 is an abundant number, since it is smaller than the sum of its proper divisors (769141952).

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

742948768 is a wasteful number, since it uses less digits than its factorization.

742948768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581 (or 6573 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 55.

The square root of 742948768 is about 27257.0865647816. The cubic root of 742948768 is about 905.7040066048.

The spelling of 742948768 in words is "seven hundred forty-two million, nine hundred forty-eight thousand, seven hundred sixty-eight".