4600660064 has 192 divisors, whose sum is σ = 12272020992. Its totient is φ = 1653189120.

The previous prime is 4600660063. The next prime is 4600660067.

It is a happy number.

4600660064 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4600660064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4600660063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3875279 + ... + 3876465.

It is an arithmetic number, because the mean of its divisors is an integer number (63916776).

Almost surely, 2^4600660064 is an apocalyptic number.

4600660064 is a gapful number since it is divisible by the number (44) 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 4600660064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136010496).

4600660064 is an abundant number, since it is smaller than the sum of its proper divisors (7671360928).

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

4600660064 is a wasteful number, since it uses less digits than its factorization.

4600660064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 4600660064 is about 67828.1657130723. The cubic root of 4600660064 is about 1663.1830424818.

The spelling of 4600660064 in words is "four billion, six hundred million, six hundred sixty thousand, sixty-four".