4069827360 has 216 divisors, whose sum is σ = 14659592220. Its totient is φ = 1028035584.

The previous prime is 4069827347. The next prime is 4069827371. The reversal of 4069827360 is 637289604.

It can be written as a sum of positive squares in 2 ways, for example, as 3761614224 + 308213136 = 61332^2 + 17556^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 515926 + ... + 523754.

Almost surely, 2^4069827360 is an apocalyptic number.

4069827360 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 4069827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329796110).

4069827360 is an abundant number, since it is smaller than the sum of its proper divisors (10589764860).

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

4069827360 is a wasteful number, since it uses less digits than its factorization.

4069827360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4069827360 is about 63795.1985654093. The cubic root of 4069827360 is about 1596.5848196929.

The spelling of 4069827360 in words is "four billion, sixty-nine million, eight hundred twenty-seven thousand, three hundred sixty".