7821192918 has 240 divisors, whose sum is σ = 21150374400. Its totient is φ = 1918556640.

The previous prime is 7821192913. The next prime is 7821192943. The reversal of 7821192918 is 8192911287.

It is a super-2 number, since 2×7821192918² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7821192913) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99002403 + ... + 99002481.

It is an arithmetic number, because the mean of its divisors is an integer number (88126560).

Almost surely, 2^7821192918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7821192918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575187200).

7821192918 is an abundant number, since it is smaller than the sum of its proper divisors (13329181482).

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

7821192918 is a wasteful number, since it uses less digits than its factorization.

7821192918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 125 counting only the distinct ones).

The product of its digits is 145152, while the sum is 48.

The square root of 7821192918 is about 88437.5085469961. The cubic root of 7821192918 is about 1984.9869966811.

The spelling of 7821192918 in words is "seven billion, eight hundred twenty-one million, one hundred ninety-two thousand, nine hundred eighteen".