742801157568 has 56 divisors (see below), whose sum is σ = 2183697852560. Its totient is φ = 247600385280.

The previous prime is 742801157561. The next prime is 742801157629. The reversal of 742801157568 is 865751108247.

742801157568 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 0 + 1 + 1 + 575 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742801157561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214929163 + ... + 214932618.

It is an arithmetic number, because the mean of its divisors is an integer number (38994604510).

Almost surely, 2^742801157568 is an apocalyptic number.

It is an amenable number.

742801157568 is an abundant number, since it is smaller than the sum of its proper divisors (1440896694992).

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

742801157568 is a wasteful number, since it uses less digits than its factorization.

742801157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429861802 (or 429861786 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 742801157568 in words is "seven hundred forty-two billion, eight hundred one million, one hundred fifty-seven thousand, five hundred sixty-eight".