60742566144 has 252 divisors, whose sum is σ = 195780184236. Its totient is φ = 18689273856.

The previous prime is 60742566113. The next prime is 60742566161. The reversal of 60742566144 is 44166524706.

60742566144 is a `hidden beast` number, since 6 + 0 + 7 + 4 + 25 + 6 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18635526144 + 42107040000 = 136512^2 + 205200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 60742566144.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2413594 + ... + 2438630.

It is an arithmetic number, because the mean of its divisors is an integer number (776905493).

Almost surely, 2^60742566144 is an apocalyptic number.

60742566144 is a gapful number since it is divisible by the number (64) 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 60742566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97890092118).

60742566144 is an abundant number, since it is smaller than the sum of its proper divisors (135037618092).

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

60742566144 is an equidigital number, since it uses as much as digits as its factorization.

60742566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25084 (or 25055 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 60742566144 in words is "sixty billion, seven hundred forty-two million, five hundred sixty-six thousand, one hundred forty-four".