4067751264 has 96 divisors (see below), whose sum is σ = 10784503296. Its totient is φ = 1342448640.

The previous prime is 4067751263. The next prime is 4067751307. The reversal of 4067751264 is 4621577604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067751263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7807324 + ... + 7807844.

It is an arithmetic number, because the mean of its divisors is an integer number (112338576).

Almost surely, 2^4067751264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4067751264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392251648).

4067751264 is an abundant number, since it is smaller than the sum of its proper divisors (6716752032).

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

4067751264 is a wasteful number, since it uses less digits than its factorization.

4067751264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 4067751264 is about 63778.9249203842. The cubic root of 4067751264 is about 1596.3132908008.

The spelling of 4067751264 in words is "four billion, sixty-seven million, seven hundred fifty-one thousand, two hundred sixty-four".