4067652288 has 336 divisors, whose sum is σ = 13728618720. Its totient is φ = 1054900224.

The previous prime is 4067652287. The next prime is 4067652289. The reversal of 4067652288 is 8822567604.

4067652288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4067652287) and next prime (4067652289).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (4067652283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4637706 + ... + 4638582.

Almost surely, 2^4067652288 is an apocalyptic number.

4067652288 is a gapful number since it is divisible by the number (48) 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 4067652288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864309360).

4067652288 is an abundant number, since it is smaller than the sum of its proper divisors (9660966432).

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

4067652288 is a wasteful number, since it uses less digits than its factorization.

4067652288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 4067652288 is about 63778.1489853696. The cubic root of 4067652288 is about 1596.3003435993.

The spelling of 4067652288 in words is "four billion, sixty-seven million, six hundred fifty-two thousand, two hundred eighty-eight".