6123904560 has 400 divisors, whose sum is σ = 23509227456. Its totient is φ = 1469546496.

The previous prime is 6123904559. The next prime is 6123904597. The reversal of 6123904560 is 654093216.

It is a happy number.

6123904560 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 90 + 4 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2532472 + ... + 2534888.

Almost surely, 2^6123904560 is an apocalyptic number.

6123904560 is a gapful number since it is divisible by the number (60) 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 6123904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754613728).

6123904560 is an abundant number, since it is smaller than the sum of its proper divisors (17385322896).

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

6123904560 is a wasteful number, since it uses less digits than its factorization.

6123904560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6123904560 is about 78255.3803901048. The cubic root of 6123904560 is about 1829.5437723219.

Adding to 6123904560 its reverse (654093216), we get a palindrome (6777997776).

The spelling of 6123904560 in words is "six billion, one hundred twenty-three million, nine hundred four thousand, five hundred sixty".