4066765920 has 384 divisors, whose sum is σ = 16378951680. Its totient is φ = 923166720.

The previous prime is 4066765897. The next prime is 4066765931. The reversal of 4066765920 is 295676604.

4066765920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5473069 + ... + 5473811.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 2^4066765920 is an apocalyptic number.

4066765920 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 4066765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

4066765920 is an abundant number, since it is smaller than the sum of its proper divisors (12312185760).

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

4066765920 is a wasteful number, since it uses less digits than its factorization.

4066765920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4066765920 is about 63771.1997691748. The cubic root of 4066765920 is about 1596.1843870862.

The spelling of 4066765920 in words is "four billion, sixty-six million, seven hundred sixty-five thousand, nine hundred twenty".