68010583680 has 384 divisors, whose sum is σ = 257701363920. Its totient is φ = 16424239104.

The previous prime is 68010583649. The next prime is 68010583703. The reversal of 68010583680 is 8638501086.

68010583680 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 0 + 583 + 68 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5146053696 + 62864529984 = 71736^2 + 250728^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3960072 + ... + 3977208.

Almost surely, 2^68010583680 is an apocalyptic number.

68010583680 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 68010583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128850681960).

68010583680 is an abundant number, since it is smaller than the sum of its proper divisors (189690780240).

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

68010583680 is a wasteful number, since it uses less digits than its factorization.

68010583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17228 (or 17213 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 68010583680 in words is "sixty-eight billion, ten million, five hundred eighty-three thousand, six hundred eighty".