4052567680 has 256 divisors, whose sum is σ = 11492870400. Its totient is φ = 1337720832.

The previous prime is 4052567653. The next prime is 4052567689. The reversal of 4052567680 is 867652504.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (4052567689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20997664 + ... + 20997856.

It is an arithmetic number, because the mean of its divisors is an integer number (44894025).

Almost surely, 2^4052567680 is an apocalyptic number.

4052567680 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 4052567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746435200).

4052567680 is an abundant number, since it is smaller than the sum of its proper divisors (7440302720).

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

4052567680 is a wasteful number, since it uses less digits than its factorization.

4052567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 4052567680 is about 63659.7807096443. The cubic root of 4052567680 is about 1594.3246427523.

The spelling of 4052567680 in words is "four billion, fifty-two million, five hundred sixty-seven thousand, six hundred eighty".