4007664864 has 576 divisors, whose sum is σ = 14741056512. Its totient is φ = 1045094400.

The previous prime is 4007664853. The next prime is 4007664883. The reversal of 4007664864 is 4684667004.

It is a super-2 number, since 2×4007664864² = 32122755324280276992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56445949 + ... + 56446019.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112).

Almost surely, 2^4007664864 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 4007664864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370528256).

4007664864 is an abundant number, since it is smaller than the sum of its proper divisors (10733391648).

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

4007664864 is a wasteful number, since it uses less digits than its factorization.

4007664864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4007664864 is about 63306.1202728457. The cubic root of 4007664864 is about 1588.4143394490.

The spelling of 4007664864 in words is "four billion, seven million, six hundred sixty-four thousand, eight hundred sixty-four".