4664163840 has 320 divisors, whose sum is σ = 17229611520. Its totient is φ = 1054310400.

The previous prime is 4664163821. The next prime is 4664163887. The reversal of 4664163840 is 483614664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×4664163840³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4664163792 and 4664163801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5429331 + ... + 5430189.

It is an arithmetic number, because the mean of its divisors is an integer number (53842536).

Almost surely, 2^4664163840 is an apocalyptic number.

4664163840 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 4664163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614805760).

4664163840 is an abundant number, since it is smaller than the sum of its proper divisors (12565447680).

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

4664163840 is a wasteful number, since it uses less digits than its factorization.

4664163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4664163840 is about 68294.6838341023. The cubic root of 4664163840 is about 1670.8005102365.

The spelling of 4664163840 in words is "four billion, six hundred sixty-four million, one hundred sixty-three thousand, eight hundred forty".