4068771840 has 864 divisors, whose sum is σ = 17696591640. Its totient is φ = 858783744.

The previous prime is 4068771781. The next prime is 4068771841. The reversal of 4068771840 is 481778604.

It can be written as a sum of positive squares in 4 ways, for example, as 3905750016 + 163021824 = 62496^2 + 12768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4068771841) 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, 76769254 + ... + 76769306.

Almost surely, 2^4068771840 is an apocalyptic number.

4068771840 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 4068771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848295820).

4068771840 is an abundant number, since it is smaller than the sum of its proper divisors (13627819800).

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

4068771840 is a wasteful number, since it uses less digits than its factorization.

4068771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 4068771840 is about 63786.9253060531. The cubic root of 4068771840 is about 1596.4467816575.

The spelling of 4068771840 in words is "four billion, sixty-eight million, seven hundred seventy-one thousand, eight hundred forty".