6142354560 has 192 divisors, whose sum is σ = 21400287480. Its totient is φ = 1623293952.

The previous prime is 6142354549. The next prime is 6142354579. The reversal of 6142354560 is 654532416.

6142354560 is a `hidden beast` number, since 6 + 1 + 42 + 3 + 54 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3259953216 + 2882401344 = 57096^2 + 53688^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 646162 + ... + 655598.

Almost surely, 2^6142354560 is an apocalyptic number.

6142354560 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 6142354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700143740).

6142354560 is an abundant number, since it is smaller than the sum of its proper divisors (15257932920).

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

6142354560 is a wasteful number, since it uses less digits than its factorization.

6142354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9575 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6142354560 is about 78373.1750026755. The cubic root of 6142354560 is about 1831.3792701361.

Adding to 6142354560 its reverse (654532416), we get a palindrome (6796886976).

The spelling of 6142354560 in words is "six billion, one hundred forty-two million, three hundred fifty-four thousand, five hundred sixty".