742755792768 has 64 divisors (see below), whose sum is σ = 2152303729920. Its totient is φ = 225077511680.

The previous prime is 742755792719. The next prime is 742755792797. The reversal of 742755792768 is 867297557247.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×742755792768² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87916680 + ... + 87925127.

It is an arithmetic number, because the mean of its divisors is an integer number (33629745780).

Almost surely, 2^742755792768 is an apocalyptic number.

It is an amenable number.

742755792768 is an abundant number, since it is smaller than the sum of its proper divisors (1409547937152).

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

742755792768 is a wasteful number, since it uses less digits than its factorization.

742755792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175841835 (or 175841823 counting only the distinct ones).

The product of its digits is 414892800, while the sum is 69.

The spelling of 742755792768 in words is "seven hundred forty-two billion, seven hundred fifty-five million, seven hundred ninety-two thousand, seven hundred sixty-eight".