4001888768 has 20 divisors (see below), whose sum is σ = 7995962370. Its totient is φ = 2000944128.

The previous prime is 4001888747. The next prime is 4001888771. The reversal of 4001888768 is 8678881004.

4001888768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3800475904 + 201412864 = 61648^2 + 14192^2 .

It is a super-2 number, since 2×4001888768² = 32030227422889115648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3907583 + ... + 3908606.

Almost surely, 2^4001888768 is an apocalyptic number.

It is an amenable number.

4001888768 is a deficient number, since it is larger than the sum of its proper divisors (3994073602).

4001888768 is an frugal number, since it uses more digits than its factorization.

4001888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816207 (or 7816191 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 50.

The square root of 4001888768 is about 63260.4834632174. The cubic root of 4001888768 is about 1587.6508653449.

The spelling of 4001888768 in words is "four billion, one million, eight hundred eighty-eight thousand, seven hundred sixty-eight".