4686289706880 has 640 divisors, whose sum is σ = 16867931857920. Its totient is φ = 1239839834112.

The previous prime is 4686289706873. The next prime is 4686289706887. The reversal of 4686289706880 is 886079826864.

4686289706880 is a `hidden beast` number, since 468 + 6 + 2 + 89 + 7 + 0 + 6 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4686289706873) and next prime (4686289706887).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4686289706880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4686289706799 and 4686289706808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4686289706887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4626149254 + ... + 4626150266.

It is an arithmetic number, because the mean of its divisors is an integer number (26356143528).

Almost surely, 2^{4686289706880} is an apocalyptic number.

4686289706880 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 4686289706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433965928960).

4686289706880 is an abundant number, since it is smaller than the sum of its proper divisors (12181642151040).

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

4686289706880 is a wasteful number, since it uses less digits than its factorization.

4686289706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 4686289706880 in words is "four trillion, six hundred eighty-six billion, two hundred eighty-nine million, seven hundred six thousand, eight hundred eighty".