742678920753 has 128 divisors (see below), whose sum is σ = 1286364119040. Its totient is φ = 369829152000.

The previous prime is 742678920749. The next prime is 742678920773. The reversal of 742678920753 is 357029876247.

It is a happy number.

It is not a de Polignac number, because 742678920753 - 2² = 742678920749 is a prime.

It is a super-3 number, since 3×742678920753³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (742678920713) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 680731738 + ... + 680732828.

It is an arithmetic number, because the mean of its divisors is an integer number (10049719680).

Almost surely, 2^742678920753 is an apocalyptic number.

It is an amenable number.

742678920753 is a deficient number, since it is larger than the sum of its proper divisors (543685198287).

742678920753 is a wasteful number, since it uses less digits than its factorization.

742678920753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779.

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 742678920753 in words is "seven hundred forty-two billion, six hundred seventy-eight million, nine hundred twenty thousand, seven hundred fifty-three".