4005732960 has 192 divisors, whose sum is σ = 14057668800. Its totient is φ = 1065332736.

The previous prime is 4005732943. The next prime is 4005733009. The reversal of 4005732960 is 692375004.

4005732960 is a `hidden beast` number, since 4 + 0 + 0 + 573 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973226 + ... + 1975254.

It is an arithmetic number, because the mean of its divisors is an integer number (73217025).

Almost surely, 2^4005732960 is an apocalyptic number.

4005732960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028834400).

4005732960 is an abundant number, since it is smaller than the sum of its proper divisors (10051935840).

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

4005732960 is a wasteful number, since it uses less digits than its factorization.

4005732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4005732960 is about 63290.8600036372. The cubic root of 4005732960 is about 1588.1590655063.

The spelling of 4005732960 in words is "four billion, five million, seven hundred thirty-two thousand, nine hundred sixty".