4075864763424 has 48 divisors (see below), whose sum is σ = 10707850883520. Its totient is φ = 1357516079360.

The previous prime is 4075864763293. The next prime is 4075864763429. The reversal of 4075864763424 is 4243674685704.

4075864763424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4075864763424² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4075864763429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17154972 + ... + 17390939.

It is an arithmetic number, because the mean of its divisors is an integer number (223080226740).

Almost surely, 2^{4075864763424} is an apocalyptic number.

It is an amenable number.

4075864763424 is an abundant number, since it is smaller than the sum of its proper divisors (6631986120096).

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

4075864763424 is a wasteful number, since it uses less digits than its factorization.

4075864763424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34547153 (or 34547145 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 60.

The spelling of 4075864763424 in words is "four trillion, seventy-five billion, eight hundred sixty-four million, seven hundred sixty-three thousand, four hundred twenty-four".