7841193984 has 392 divisors, whose sum is σ = 25570651932. Its totient is φ = 2388787200.

The previous prime is 7841193973. The next prime is 7841193989. The reversal of 7841193984 is 4893911487.

It can be written as a sum of positive squares in 2 ways, for example, as 7766544384 + 74649600 = 88128^2 + 8640^2 .

It is a super-2 number, since 2×7841193984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7841193984.

It is not an unprimeable number, because it can be changed into a prime (7841193989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 77635534 + ... + 77635634.

Almost surely, 2^7841193984 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 7841193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785325966).

7841193984 is an abundant number, since it is smaller than the sum of its proper divisors (17729457948).

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

7841193984 is an equidigital number, since it uses as much as digits as its factorization.

7841193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 7841193984 is about 88550.5165654046. The cubic root of 7841193984 is about 1986.6776194663.

The spelling of 7841193984 in words is "seven billion, eight hundred forty-one million, one hundred ninety-three thousand, nine hundred eighty-four".