4068247680 has 768 divisors, whose sum is σ = 17268975360. Its totient is φ = 895795200.

The previous prime is 4068247669. The next prime is 4068247697. The reversal of 4068247680 is 867428604.

4068247680 is a `hidden beast` number, since 40 + 68 + 2 + 476 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 40279630 + ... + 40279730.

It is an arithmetic number, because the mean of its divisors is an integer number (22485645).

Almost surely, 2^4068247680 is an apocalyptic number.

4068247680 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 4068247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634487680).

4068247680 is an abundant number, since it is smaller than the sum of its proper divisors (13200727680).

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

4068247680 is a wasteful number, since it uses less digits than its factorization.

4068247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4068247680 is about 63782.8164947269. The cubic root of 4068247680 is about 1596.3782245668.

The spelling of 4068247680 in words is "four billion, sixty-eight million, two hundred forty-seven thousand, six hundred eighty".