4606229717760 has 1152 divisors, whose sum is σ = 18157470105600. Its totient is φ = 980605992960.

The previous prime is 4606229717759. The next prime is 4606229717783. The reversal of 4606229717760 is 677179226064.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4606229717760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 914113321 + ... + 914118359.

It is an arithmetic number, because the mean of its divisors is an integer number (15761692800).

Almost surely, 2^{4606229717760} is an apocalyptic number.

4606229717760 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 4606229717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078735052800).

4606229717760 is an abundant number, since it is smaller than the sum of its proper divisors (13551240387840).

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

4606229717760 is a wasteful number, since it uses less digits than its factorization.

4606229717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 4606229717760 in words is "four trillion, six hundred six billion, two hundred twenty-nine million, seven hundred seventeen thousand, seven hundred sixty".