7826886144 has 960 divisors, whose sum is σ = 31457986560. Its totient is φ = 1881169920.

The previous prime is 7826886083. The next prime is 7826886191. The reversal of 7826886144 is 4416886287.

It is a super-2 number, since 2×7826886144² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182020587 + ... + 182020629.

It is an arithmetic number, because the mean of its divisors is an integer number (32768736).

Almost surely, 2^7826886144 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 7826886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728993280).

7826886144 is an abundant number, since it is smaller than the sum of its proper divisors (23631100416).

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

7826886144 is a wasteful number, since it uses less digits than its factorization.

7826886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 7826886144 is about 88469.6905386246. The cubic root of 7826886144 is about 1985.4685190748.

The spelling of 7826886144 in words is "seven billion, eight hundred twenty-six million, eight hundred eighty-six thousand, one hundred forty-four".