4065858720 has 768 divisors, whose sum is σ = 18811699200. Its totient is φ = 794050560.

The previous prime is 4065858647. The next prime is 4065858739. The reversal of 4065858720 is 278585604.

4065858720 is a `hidden beast` number, since 4 + 0 + 65 + 8 + 587 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5654521 + ... + 5655239.

It is an arithmetic number, because the mean of its divisors is an integer number (24494400).

Almost surely, 2^4065858720 is an apocalyptic number.

4065858720 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 4065858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405849600).

4065858720 is an abundant number, since it is smaller than the sum of its proper divisors (14745840480).

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

4065858720 is a wasteful number, since it uses less digits than its factorization.

4065858720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 4065858720 is about 63764.0864437028. The cubic root of 4065858720 is about 1596.0656878385.

The spelling of 4065858720 in words is "four billion, sixty-five million, eight hundred fifty-eight thousand, seven hundred twenty".