4920607228680 has 1536 divisors, whose sum is σ = 20366603712000. Its totient is φ = 1011925647360.

The previous prime is 4920607228679. The next prime is 4920607228687. The reversal of 4920607228680 is 868227060294.

4920607228680 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 607 + 2 + 28 + 6 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4920607228687) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 12030824316 + ... + 12030824724.

It is an arithmetic number, because the mean of its divisors is an integer number (13259507625).

Almost surely, 2^{4920607228680} is an apocalyptic number.

4920607228680 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 4920607228680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183301856000).

4920607228680 is an abundant number, since it is smaller than the sum of its proper divisors (15445996483320).

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

4920607228680 is a wasteful number, since it uses less digits than its factorization.

4920607228680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4920607228680 in words is "four trillion, nine hundred twenty billion, six hundred seven million, two hundred twenty-eight thousand, six hundred eighty".