7827643140 has 96 divisors (see below), whose sum is σ = 22359576960. Its totient is φ = 2045362176.

The previous prime is 7827643121. The next prime is 7827643171. The reversal of 7827643140 is 413467287.

It is a super-2 number, since 2×7827643140² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7827643092 and 7827643101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4479747 + ... + 4481493.

It is an arithmetic number, because the mean of its divisors is an integer number (232912260).

Almost surely, 2^7827643140 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 7827643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11179788480).

7827643140 is an abundant number, since it is smaller than the sum of its proper divisors (14531933820).

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

7827643140 is a wasteful number, since it uses less digits than its factorization.

7827643140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 7827643140 is about 88473.9687139669. The cubic root of 7827643140 is about 1985.5325267890.

The spelling of 7827643140 in words is "seven billion, eight hundred twenty-seven million, six hundred forty-three thousand, one hundred forty".