7772163168 has 384 divisors, whose sum is σ = 26435275776. Its totient is φ = 1940889600.

The previous prime is 7772163149. The next prime is 7772163187. The reversal of 7772163168 is 8613612777.

It is an interprime number because it is at equal distance from previous prime (7772163149) and next prime (7772163187).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 42940038 + ... + 42940218.

It is an arithmetic number, because the mean of its divisors is an integer number (68841864).

Almost surely, 2^7772163168 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 7772163168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217637888).

7772163168 is an abundant number, since it is smaller than the sum of its proper divisors (18663112608).

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

7772163168 is a wasteful number, since it uses less digits than its factorization.

7772163168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its digits is 592704, while the sum is 48.

The square root of 7772163168 is about 88159.8727766777. The cubic root of 7772163168 is about 1980.8304485034.

The spelling of 7772163168 in words is "seven billion, seven hundred seventy-two million, one hundred sixty-three thousand, one hundred sixty-eight".