742375809216 has 168 divisors, whose sum is σ = 2253905840160. Its totient is φ = 232814370816.

The previous prime is 742375809193. The next prime is 742375809271. The reversal of 742375809216 is 612908573247.

It is a happy number.

742375809216 is a `hidden beast` number, since 7 + 4 + 2 + 37 + 580 + 9 + 21 + 6 = 666.

It is a super-2 number, since 2×742375809216² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 28942125 + ... + 28967763.

It is a 1-persistent number, because it is pandigital, but 2⋅742375809216 = 1484751618432 is not.

Almost surely, 2^742375809216 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 742375809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126952920080).

742375809216 is an abundant number, since it is smaller than the sum of its proper divisors (1511530030944).

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

742375809216 is a wasteful number, since it uses less digits than its factorization.

742375809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28631 (or 28618 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 742375809216 in words is "seven hundred forty-two billion, three hundred seventy-five million, eight hundred nine thousand, two hundred sixteen".