4071557664 has 120 divisors (see below), whose sum is σ = 12678848028. Its totient is φ = 1277337600.

The previous prime is 4071557657. The next prime is 4071557669. The reversal of 4071557664 is 4667551704.

4071557664 is a `hidden beast` number, since 4 + 0 + 7 + 15 + 576 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3515541264 + 556016400 = 59292^2 + 23580^2 .

It is a super-2 number, since 2×4071557664² = 33155163622554273792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4071557669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2137 + ... + 90264.

Almost surely, 2^4071557664 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 4071557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339424014).

4071557664 is an abundant number, since it is smaller than the sum of its proper divisors (8607290364).

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

4071557664 is a wasteful number, since it uses less digits than its factorization.

4071557664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92440 (or 92423 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 4071557664 is about 63808.7585210682. The cubic root of 4071557664 is about 1596.8110525230.

The spelling of 4071557664 in words is "four billion, seventy-one million, five hundred fifty-seven thousand, six hundred sixty-four".