742737756753 has 12 divisors (see below), whose sum is σ = 1073508570420. Its totient is φ = 494851514976.

The previous prime is 742737756703. The next prime is 742737756769. The reversal of 742737756753 is 357657737247.

742737756753 is a `hidden beast` number, since 7 + 427 + 37 + 75 + 67 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 450177928209 + 292559828544 = 670953^2 + 540888^2 .

It is not a de Polignac number, because 742737756753 - 2¹⁰ = 742737755729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (742737756703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25567138 + ... + 25596171.

It is an arithmetic number, because the mean of its divisors is an integer number (89459047535).

Almost surely, 2^742737756753 is an apocalyptic number.

It is an amenable number.

742737756753 is a deficient number, since it is larger than the sum of its proper divisors (330770813667).

742737756753 is a wasteful number, since it uses less digits than its factorization.

742737756753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51164928 (or 51164925 counting only the distinct ones).

The product of its digits is 181515600, while the sum is 63.

The spelling of 742737756753 in words is "seven hundred forty-two billion, seven hundred thirty-seven million, seven hundred fifty-six thousand, seven hundred fifty-three".