4004067704 has 64 divisors (see below), whose sum is σ = 9266927040. Its totient is φ = 1579438080.

The previous prime is 4004067659. The next prime is 4004067713. The reversal of 4004067704 is 4077604004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249194 + ... + 264774.

It is an arithmetic number, because the mean of its divisors is an integer number (144795735).

Almost surely, 2^4004067704 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 4004067704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633463520).

4004067704 is an abundant number, since it is smaller than the sum of its proper divisors (5262859336).

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

4004067704 is a wasteful number, since it uses less digits than its factorization.

4004067704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15960 (or 15956 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 4004067704 is about 63277.7030556578. The cubic root of 4004067704 is about 1587.9389594727.

The spelling of 4004067704 in words is "four billion, four million, sixty-seven thousand, seven hundred four".