60606240672000 has 1152 divisors, whose sum is σ = 214370889707520. Its totient is φ = 15149137920000.

The previous prime is 60606240671993. The next prime is 60606240672037. The reversal of 60606240672000 is 27604260606.

60606240672000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×60606240672000³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 60606240672000.

It is an unprimeable number.

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, 25454110810 + ... + 25454113190.

It is an arithmetic number, because the mean of its divisors is an integer number (186085841760).

Almost surely, 2^{60606240672000} is an apocalyptic number.

60606240672000 is a gapful number since it is divisible by the number (60) 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 60606240672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107185444853760).

60606240672000 is an abundant number, since it is smaller than the sum of its proper divisors (153764649035520).

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

60606240672000 is a wasteful number, since it uses less digits than its factorization.

60606240672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 60606240672000 in words is "sixty trillion, six hundred six billion, two hundred forty million, six hundred seventy-two thousand".