6142558240 has 288 divisors, whose sum is σ = 18497445120. Its totient is φ = 1877022720.

The previous prime is 6142558229. The next prime is 6142558249. The reversal of 6142558240 is 428552416.

It is a self number, because there is not a number n which added to its sum of digits gives 6142558240.

It is not an unprimeable number, because it can be changed into a prime (6142558249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13991941 + ... + 13992379.

It is an arithmetic number, because the mean of its divisors is an integer number (64227240).

Almost surely, 2^6142558240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248722560).

6142558240 is an abundant number, since it is smaller than the sum of its proper divisors (12354886880).

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

6142558240 is a wasteful number, since it uses less digits than its factorization.

6142558240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 6142558240 is about 78374.4744161006. The cubic root of 6142558240 is about 1831.3995127105.

The spelling of 6142558240 in words is "six billion, one hundred forty-two million, five hundred fifty-eight thousand, two hundred forty".