742107923713728 has 2688 divisors, whose sum is σ = 2755084042174464. Its totient is φ = 194945638809600.

The previous prime is 742107923713727. The next prime is 742107923713769. The reversal of 742107923713728 is 827317329701247.

742107923713728 is a `hidden beast` number, since 7 + 4 + 2 + 107 + 92 + 3 + 71 + 372 + 8 = 666.

742107923713728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (742107923713721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 512859656301 + ... + 512859657747.

It is an arithmetic number, because the mean of its divisors is an integer number (1024956860928).

Almost surely, 2^{742107923713728} is an apocalyptic number.

742107923713728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742107923713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377542021087232).

742107923713728 is an abundant number, since it is smaller than the sum of its proper divisors (2012976118460736).

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

742107923713728 is a wasteful number, since it uses less digits than its factorization.

742107923713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 742107923713728 in words is "seven hundred forty-two trillion, one hundred seven billion, nine hundred twenty-three million, seven hundred thirteen thousand, seven hundred twenty-eight".