6142247496 has 720 divisors, whose sum is σ = 23544702720. Its totient is φ = 1462665600.

The previous prime is 6142247443. The next prime is 6142247519. The reversal of 6142247496 is 6947422416.

6142247496 is a `hidden beast` number, since 614 + 2 + 24 + 7 + 4 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 198137001 + ... + 198137031.

It is an arithmetic number, because the mean of its divisors is an integer number (32700976).

Almost surely, 2^6142247496 is an apocalyptic number.

6142247496 is a gapful number since it is divisible by the number (66) 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 6142247496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11772351360).

6142247496 is an abundant number, since it is smaller than the sum of its proper divisors (17402455224).

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

6142247496 is a wasteful number, since it uses less digits than its factorization.

6142247496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 6142247496 is about 78372.4919598707. The cubic root of 6142247496 is about 1831.3686294864.

The spelling of 6142247496 in words is "six billion, one hundred forty-two million, two hundred forty-seven thousand, four hundred ninety-six".