4068679680 has 448 divisors, whose sum is σ = 15633313920. Its totient is φ = 997982208.

The previous prime is 4068679679. The next prime is 4068679711. The reversal of 4068679680 is 869768604.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14376819 + ... + 14377101.

It is an arithmetic number, because the mean of its divisors is an integer number (34895790).

Almost surely, 2^4068679680 is an apocalyptic number.

4068679680 is a gapful number since it is divisible by the number (40) 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 4068679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816656960).

4068679680 is an abundant number, since it is smaller than the sum of its proper divisors (11564634240).

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

4068679680 is a wasteful number, since it uses less digits than its factorization.

4068679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 306 counting only the distinct ones).

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

The square root of 4068679680 is about 63786.2028968648. The cubic root of 4068679680 is about 1596.4347280902.

The spelling of 4068679680 in words is "four billion, sixty-eight million, six hundred seventy-nine thousand, six hundred eighty".