4867122028680 has 384 divisors, whose sum is σ = 16579560816000. Its totient is φ = 1284051750912.

The previous prime is 4867122028673. The next prime is 4867122028729. The reversal of 4867122028680 is 868202217684.

4867122028680 is a `hidden beast` number, since 4 + 8 + 67 + 1 + 220 + 286 + 80 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 644733546 + ... + 644741094.

It is an arithmetic number, because the mean of its divisors is an integer number (43175939625).

Almost surely, 2^{4867122028680} is an apocalyptic number.

4867122028680 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 4867122028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289780408000).

4867122028680 is an abundant number, since it is smaller than the sum of its proper divisors (11712438787320).

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

4867122028680 is a wasteful number, since it uses less digits than its factorization.

4867122028680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 4867122028680 in words is "four trillion, eight hundred sixty-seven billion, one hundred twenty-two million, twenty-eight thousand, six hundred eighty".