6120819720 has 96 divisors (see below), whose sum is σ = 20430348120. Its totient is φ = 1588101120.

The previous prime is 6120819709. The next prime is 6120819739. The reversal of 6120819720 is 279180216.

6120819720 is a `hidden beast` number, since 612 + 0 + 8 + 19 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4702393476 + 1418426244 = 68574^2 + 37662^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216441 + ... + 243080.

Almost surely, 2^6120819720 is an apocalyptic number.

6120819720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6120819720 is an abundant number, since it is smaller than the sum of its proper divisors (14309528400).

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

6120819720 is a wasteful number, since it uses less digits than its factorization.

6120819720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459575 (or 459568 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 6120819720 is about 78235.6678248483. The cubic root of 6120819720 is about 1829.2365174927.

Adding to 6120819720 its reverse (279180216), we get a palindrome (6399999936).

The spelling of 6120819720 in words is "six billion, one hundred twenty million, eight hundred nineteen thousand, seven hundred twenty".