4860791820360 has 2048 divisors, whose sum is σ = 20551587840000. Its totient is φ = 1010027003904.

The previous prime is 4860791820329. The next prime is 4860791820373. The reversal of 4860791820360 is 630281970684.

4860791820360 is a `hidden beast` number, since 4 + 8 + 607 + 9 + 1 + 8 + 20 + 3 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4860791820297 and 4860791820306.

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 511 ways as a sum of consecutive naturals, for example, 50111255832 + ... + 50111255928.

It is an arithmetic number, because the mean of its divisors is an integer number (10034955000).

Almost surely, 2^{4860791820360} is an apocalyptic number.

4860791820360 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 4860791820360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275793920000).

4860791820360 is an abundant number, since it is smaller than the sum of its proper divisors (15690796019640).

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

4860791820360 is a wasteful number, since it uses less digits than its factorization.

4860791820360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4860791820360 in words is "four trillion, eight hundred sixty billion, seven hundred ninety-one million, eight hundred twenty thousand, three hundred sixty".