4242676368 has 120 divisors (see below), whose sum is σ = 13161181440. Its totient is φ = 1173070080.

The previous prime is 4242676363. The next prime is 4242676379. The reversal of 4242676368 is 8636762424.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (4242676363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43818 + ... + 102006.

It is an arithmetic number, because the mean of its divisors is an integer number (109676512).

Almost surely, 2^4242676368 is an apocalyptic number.

4242676368 is a gapful number since it is divisible by the number (48) 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 4242676368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580590720).

4242676368 is an abundant number, since it is smaller than the sum of its proper divisors (8918505072).

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

4242676368 is a wasteful number, since it uses less digits than its factorization.

4242676368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58245 (or 58232 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 4242676368 is about 65135.8301397933. The cubic root of 4242676368 is about 1618.8749451159.

The spelling of 4242676368 in words is "four billion, two hundred forty-two million, six hundred seventy-six thousand, three hundred sixty-eight".