4005774864 has 640 divisors, whose sum is σ = 15465676800. Its totient is φ = 962979840.

The previous prime is 4005774863. The next prime is 4005774937. The reversal of 4005774864 is 4684775004.

It is a super-2 number, since 2×4005774864² = 32092464522108436992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4005774863) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23154682 + ... + 23154854.

It is an arithmetic number, because the mean of its divisors is an integer number (24165120).

Almost surely, 2^4005774864 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 4005774864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732838400).

4005774864 is an abundant number, since it is smaller than the sum of its proper divisors (11459901936).

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

4005774864 is a wasteful number, since it uses less digits than its factorization.

4005774864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4005774864 is about 63291.1910458320. The cubic root of 4005774864 is about 1588.1646034012.

It can be divided in two parts, 40057 and 74864, that added together give a square (114921 = 339²).

The spelling of 4005774864 in words is "four billion, five million, seven hundred seventy-four thousand, eight hundred sixty-four".