8142420768 has 48 divisors (see below), whose sum is σ = 21497446656. Its totient is φ = 2698446080.

The previous prime is 8142420763. The next prime is 8142420779. The reversal of 8142420768 is 8670242418.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×8142420768⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (8142420761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228528 + ... + 261743.

It is an arithmetic number, because the mean of its divisors is an integer number (447863472).

Almost surely, 2^8142420768 is an apocalyptic number.

It is an amenable number.

8142420768 is an abundant number, since it is smaller than the sum of its proper divisors (13355025888).

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

8142420768 is a wasteful number, since it uses less digits than its factorization.

8142420768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490457 (or 490449 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 8142420768 is about 90235.3631787450. The cubic root of 8142420768 is about 2011.7986563153.

The spelling of 8142420768 in words is "eight billion, one hundred forty-two million, four hundred twenty thousand, seven hundred sixty-eight".