4069591680 has 256 divisors, whose sum is σ = 16173250560. Its totient is φ = 845598720.

The previous prime is 4069591667. The next prime is 4069591717. The reversal of 4069591680 is 861959604.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134077 + ... + 161603.

It is an arithmetic number, because the mean of its divisors is an integer number (63176760).

Almost surely, 2^4069591680 is an apocalyptic number.

4069591680 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 4069591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086625280).

4069591680 is an abundant number, since it is smaller than the sum of its proper divisors (12103658880).

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

4069591680 is a wasteful number, since it uses less digits than its factorization.

4069591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27567 (or 27555 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 4069591680 is about 63793.3513777102. The cubic root of 4069591680 is about 1596.5540001732.

The spelling of 4069591680 in words is "four billion, sixty-nine million, five hundred ninety-one thousand, six hundred eighty".