60084607968 has 432 divisors, whose sum is σ = 227282721120. Its totient is φ = 14687354880.

The previous prime is 60084607967. The next prime is 60084608039. The reversal of 60084607968 is 86970648006.

It is a super-2 number, since 2×60084607968² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60084607967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4139668 + ... + 4154156.

It is an arithmetic number, because the mean of its divisors is an integer number (526117410).

Almost surely, 2^60084607968 is an apocalyptic number.

60084607968 is a gapful number since it is divisible by the number (68) 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 60084607968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113641360560).

60084607968 is an abundant number, since it is smaller than the sum of its proper divisors (167198113152).

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

60084607968 is a wasteful number, since it uses less digits than its factorization.

60084607968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14551 (or 14529 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 60084607968 in words is "sixty billion, eighty-four million, six hundred seven thousand, nine hundred sixty-eight".