742566510768 has 90 divisors (see below), whose sum is σ = 1951216788612. Its totient is φ = 243345025920.

The previous prime is 742566510739. The next prime is 742566510797. The reversal of 742566510768 is 867015665247.

It is an interprime number because it is at equal distance from previous prime (742566510739) and next prime (742566510797).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 364180693 + ... + 364182731.

Almost surely, 2^742566510768 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 742566510768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975608394306).

742566510768 is an abundant number, since it is smaller than the sum of its proper divisors (1208650277844).

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

742566510768 is an frugal number, since it uses more digits than its factorization.

742566510768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 742566510768 in words is "seven hundred forty-two billion, five hundred sixty-six million, five hundred ten thousand, seven hundred sixty-eight".