8042919648 has 96 divisors (see below), whose sum is σ = 21593174400. Its totient is φ = 2620478976.

The previous prime is 8042919631. The next prime is 8042919727. The reversal of 8042919648 is 8469192408.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 8042919648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009890 + ... + 1017822.

It is an arithmetic number, because the mean of its divisors is an integer number (224928900).

Almost surely, 2^8042919648 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 8042919648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796587200).

8042919648 is an abundant number, since it is smaller than the sum of its proper divisors (13550254752).

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

8042919648 is a wasteful number, since it uses less digits than its factorization.

8042919648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 8042919648 is about 89682.3262856177. The cubic root of 8042919648 is about 2003.5702601621.

The spelling of 8042919648 in words is "eight billion, forty-two million, nine hundred nineteen thousand, six hundred forty-eight".