4164773760 has 640 divisors, whose sum is σ = 17772480000. Its totient is φ = 908734464.

The previous prime is 4164773759. The next prime is 4164773773. The reversal of 4164773760 is 673774614.

4164773760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 8345991 + ... + 8346489.

It is an arithmetic number, because the mean of its divisors is an integer number (27769500).

Almost surely, 2^4164773760 is an apocalyptic number.

4164773760 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 4164773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886240000).

4164773760 is an abundant number, since it is smaller than the sum of its proper divisors (13607706240).

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

4164773760 is a wasteful number, since it uses less digits than its factorization.

4164773760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 4164773760 is about 64535.0583791477. The cubic root of 4164773760 is about 1608.9052599270.

It can be divided in two parts, 4164 and 773760, that added together give a square (777924 = 882²).

The spelling of 4164773760 in words is "four billion, one hundred sixty-four million, seven hundred seventy-three thousand, seven hundred sixty".