742527651642 has 256 divisors, whose sum is σ = 1837762560000. Its totient is φ = 195331129344.

The previous prime is 742527651629. The next prime is 742527651647. The reversal of 742527651642 is 246156725247.

742527651642 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 (742527651647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1286876058 + ... + 1286876634.

It is an arithmetic number, because the mean of its divisors is an integer number (7178760000).

Almost surely, 2^742527651642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742527651642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918881280000).

742527651642 is an abundant number, since it is smaller than the sum of its proper divisors (1095234908358).

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

742527651642 is a wasteful number, since it uses less digits than its factorization.

742527651642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973.

The product of its digits is 5644800, while the sum is 51.

The spelling of 742527651642 in words is "seven hundred forty-two billion, five hundred twenty-seven million, six hundred fifty-one thousand, six hundred forty-two".