6120457560 has 96 divisors (see below), whose sum is σ = 22733137440. Its totient is φ = 1398961152.

The previous prime is 6120457559. The next prime is 6120457579. The reversal of 6120457560 is 657540216.

It is a happy number.

6120457560 is a `hidden beast` number, since 6 + 1 + 20 + 4 + 575 + 60 = 666.

It is a super-2 number, since 2×6120457560² = 74920001487522307200, which contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1211857 + ... + 1216896.

It is an arithmetic number, because the mean of its divisors is an integer number (236803515).

Almost surely, 2^6120457560 is an apocalyptic number.

6120457560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6120457560 is an abundant number, since it is smaller than the sum of its proper divisors (16612679880).

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

6120457560 is a wasteful number, since it uses less digits than its factorization.

6120457560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428777 (or 2428770 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6120457560 is about 78233.3532452751. The cubic root of 6120457560 is about 1829.2004390264.

Adding to 6120457560 its reverse (657540216), we get a palindrome (6777997776).

The spelling of 6120457560 in words is "six billion, one hundred twenty million, four hundred fifty-seven thousand, five hundred sixty".