4065876000 has 576 divisors, whose sum is σ = 15454333440. Its totient is φ = 1049241600.

The previous prime is 4065875977. The next prime is 4065876007. The reversal of 4065876000 is 6785604.

It is a happy number.

4065876000 is a `hidden beast` number, since 40 + 6 + 5 + 8 + 7 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4065876007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45683956 + ... + 45684044.

It is an arithmetic number, because the mean of its divisors is an integer number (26830440).

Almost surely, 2^4065876000 is an apocalyptic number.

4065876000 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 4065876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727166720).

4065876000 is an abundant number, since it is smaller than the sum of its proper divisors (11388457440).

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

4065876000 is an equidigital number, since it uses as much as digits as its factorization.

4065876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4065876000 is about 63764.2219430301. The cubic root of 4065876000 is about 1596.0679489415.

The spelling of 4065876000 in words is "four billion, sixty-five million, eight hundred seventy-six thousand".