7918242096 has 160 divisors (see below), whose sum is σ = 22153582080. Its totient is φ = 2428876800.

The previous prime is 7918242089. The next prime is 7918242097. The reversal of 7918242096 is 6902428197.

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

It is not an unprimeable number, because it can be changed into a prime (7918242097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15741781 + ... + 15742283.

It is an arithmetic number, because the mean of its divisors is an integer number (138459888).

Almost surely, 2^7918242096 is an apocalyptic number.

7918242096 is a gapful number since it is divisible by the number (76) 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 7918242096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076791040).

7918242096 is an abundant number, since it is smaller than the sum of its proper divisors (14235339984).

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

7918242096 is a wasteful number, since it uses less digits than its factorization.

7918242096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 7918242096 is about 88984.5048084216. The cubic root of 7918242096 is about 1993.1634990879.

It can be divided in two parts, 79182 and 42096, that added together give a triangular number (121278 = T₄₉₂).

The spelling of 7918242096 in words is "seven billion, nine hundred eighteen million, two hundred forty-two thousand, ninety-six".