4659438376320 has 512 divisors, whose sum is σ = 18387613440000. Its totient is φ = 983084064768.

The previous prime is 4659438376319. The next prime is 4659438376349. The reversal of 4659438376320 is 236738349564.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29448781 + ... + 29606579.

It is an arithmetic number, because the mean of its divisors is an integer number (35913307500).

Almost surely, 2^{4659438376320} is an apocalyptic number.

4659438376320 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 4659438376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193806720000).

4659438376320 is an abundant number, since it is smaller than the sum of its proper divisors (13728175063680).

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

4659438376320 is a wasteful number, since it uses less digits than its factorization.

4659438376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157867 (or 157829 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 60.

The spelling of 4659438376320 in words is "four trillion, six hundred fifty-nine billion, four hundred thirty-eight million, three hundred seventy-six thousand, three hundred twenty".