8042888620704 has 288 divisors, whose sum is σ = 24939004095936. Its totient is φ = 2262571315200.

The previous prime is 8042888620681. The next prime is 8042888620717. The reversal of 8042888620704 is 4070268882408.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 201551154 + ... + 201591054.

It is an arithmetic number, because the mean of its divisors is an integer number (86593764222).

Almost surely, 2^{8042888620704} is an apocalyptic number.

8042888620704 is a gapful number since it is divisible by the number (84) 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 8042888620704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12469502047968).

8042888620704 is an abundant number, since it is smaller than the sum of its proper divisors (16896115475232).

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

8042888620704 is a wasteful number, since it uses less digits than its factorization.

8042888620704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40588 (or 40573 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 57.

The spelling of 8042888620704 in words is "eight trillion, forty-two billion, eight hundred eighty-eight million, six hundred twenty thousand, seven hundred four".