60552689664 has 192 divisors, whose sum is σ = 165148139520. Its totient is φ = 19725189120.

The previous prime is 60552689663. The next prime is 60552689671. The reversal of 60552689664 is 46698625506.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60552689663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55399902 + ... + 55400994.

It is an arithmetic number, because the mean of its divisors is an integer number (860146560).

Almost surely, 2^60552689664 is an apocalyptic number.

60552689664 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 60552689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82574069760).

60552689664 is an abundant number, since it is smaller than the sum of its proper divisors (104595449856).

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

60552689664 is a wasteful number, since it uses less digits than its factorization.

60552689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 60552689664 in words is "sixty billion, five hundred fifty-two million, six hundred eighty-nine thousand, six hundred sixty-four".