4689675310320 has 3840 divisors, whose sum is σ = 23393582714880. Its totient is φ = 833089536000.

The previous prime is 4689675310319. The next prime is 4689675310343. The reversal of 4689675310320 is 230135769864.

4689675310320 is a `hidden beast` number, since 4 + 6 + 89 + 6 + 7 + 531 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 76879923090 + ... + 76879923150.

It is an arithmetic number, because the mean of its divisors is an integer number (6092078832).

It is a 1-persistent number, because it is pandigital, but 2⋅4689675310320 = 9379350620640 is not.

Almost surely, 2^{4689675310320} is an apocalyptic number.

4689675310320 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 4689675310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696791357440).

4689675310320 is an abundant number, since it is smaller than the sum of its proper divisors (18703907404560).

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

4689675310320 is a wasteful number, since it uses less digits than its factorization.

4689675310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4689675310320 in words is "four trillion, six hundred eighty-nine billion, six hundred seventy-five million, three hundred ten thousand, three hundred twenty".