60068127744 has 495 divisors, whose sum is σ = 192718071777. Its totient is φ = 18634530816.

The previous prime is 60068127739. The next prime is 60068127793. The reversal of 60068127744 is 44772186006.

The square root of 60068127744 is 245088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53749785600 + 6318342144 = 231840^2 + 79488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 60068127744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1623462894 + ... + 1623462930.

Almost surely, 2^60068127744 is an apocalyptic number.

60068127744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

60068127744 is the 245088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60068127744

60068127744 is an abundant number, since it is smaller than the sum of its proper divisors (132649944033).

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

60068127744 is an equidigital number, since it uses as much as digits as its factorization.

60068127744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 60068127744 in words is "sixty billion, sixty-eight million, one hundred twenty-seven thousand, seven hundred forty-four".