8042791950 has 144 divisors (see below), whose sum is σ = 21916539216. Its totient is φ = 2114380800.

The previous prime is 8042791949. The next prime is 8042791963. The reversal of 8042791950 is 591972408.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 8042791896 and 8042791905.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 14085165 + ... + 14085735.

It is an arithmetic number, because the mean of its divisors is an integer number (152198189).

Almost surely, 2^8042791950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042791950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10958269608).

8042791950 is an abundant number, since it is smaller than the sum of its proper divisors (13873747266).

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

8042791950 is a wasteful number, since it uses less digits than its factorization.

8042791950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 8042791950 is about 89681.6143364960. The cubic root of 8042791950 is about 2003.5596564974.

The spelling of 8042791950 in words is "eight billion, forty-two million, seven hundred ninety-one thousand, nine hundred fifty".