68187978024960 has 576 divisors, whose sum is σ = 231962511231360. Its totient is φ = 17097073623040.

The previous prime is 68187978024931. The next prime is 68187978024967. The reversal of 68187978024960 is 6942087978186.

It is not an unprimeable number, because it can be changed into a prime (68187978024967) 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 47 ways as a sum of consecutive naturals, for example, 10804620205 + ... + 10804626515.

It is an arithmetic number, because the mean of its divisors is an integer number (402712693110).

Almost surely, 2^{68187978024960} is an apocalyptic number.

68187978024960 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 68187978024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115981255615680).

68187978024960 is an abundant number, since it is smaller than the sum of its proper divisors (163774533206400).

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

68187978024960 is a wasteful number, since it uses less digits than its factorization.

68187978024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7592 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 75.

The spelling of 68187978024960 in words is "sixty-eight trillion, one hundred eighty-seven billion, nine hundred seventy-eight million, twenty-four thousand, nine hundred sixty".