60938563968 has 288 divisors, whose sum is σ = 187563230400. Its totient is φ = 18970398720.

The previous prime is 60938563967. The next prime is 60938563981. The reversal of 60938563968 is 86936583906.

60938563968 is a `hidden beast` number, since 6 + 0 + 9 + 3 + 8 + 563 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60938563967) 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 35 ways as a sum of consecutive naturals, for example, 30032778 + ... + 30034806.

Almost surely, 2^60938563968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60938563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93781615200).

60938563968 is an abundant number, since it is smaller than the sum of its proper divisors (126624666432).

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

60938563968 is a wasteful number, since it uses less digits than its factorization.

60938563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 60938563968 in words is "sixty billion, nine hundred thirty-eight million, five hundred sixty-three thousand, nine hundred sixty-eight".