6159874560 has 320 divisors, whose sum is σ = 22686048000. Its totient is φ = 1396703232.

The previous prime is 6159874541. The next prime is 6159874573. The reversal of 6159874560 is 654789516.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 8009856 + ... + 8010624.

It is an arithmetic number, because the mean of its divisors is an integer number (70893900).

Almost surely, 2^6159874560 is an apocalyptic number.

6159874560 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 6159874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11343024000).

6159874560 is an abundant number, since it is smaller than the sum of its proper divisors (16526173440).

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

6159874560 is a wasteful number, since it uses less digits than its factorization.

6159874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 6159874560 is about 78484.8683505298. The cubic root of 6159874560 is about 1833.1188477086.

The spelling of 6159874560 in words is "six billion, one hundred fifty-nine million, eight hundred seventy-four thousand, five hundred sixty".