7822161648 has 480 divisors, whose sum is σ = 27236352000. Its totient is φ = 2091059712.

The previous prime is 7822161647. The next prime is 7822161653. The reversal of 7822161648 is 8461612287.

7822161648 is a `hidden beast` number, since 7 + 8 + 2 + 21 + 616 + 4 + 8 = 666.

It is a super-2 number, since 2×7822161648² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7822161643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61591761 + ... + 61591887.

It is an arithmetic number, because the mean of its divisors is an integer number (56742400).

Almost surely, 2^7822161648 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 7822161648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618176000).

7822161648 is an abundant number, since it is smaller than the sum of its proper divisors (19414190352).

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

7822161648 is a wasteful number, since it uses less digits than its factorization.

7822161648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 7822161648 is about 88442.9852956129. The cubic root of 7822161648 is about 1985.0689465442.

The spelling of 7822161648 in words is "seven billion, eight hundred twenty-two million, one hundred sixty-one thousand, six hundred forty-eight".