7927689168 has 240 divisors, whose sum is σ = 26495089920. Its totient is φ = 2164893696.

The previous prime is 7927689157. The next prime is 7927689247. The reversal of 7927689168 is 8619867297.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 3009580 + ... + 3012212.

It is an arithmetic number, because the mean of its divisors is an integer number (110396208).

Almost surely, 2^7927689168 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 7927689168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247544960).

7927689168 is an abundant number, since it is smaller than the sum of its proper divisors (18567400752).

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

7927689168 is a wasteful number, since it uses less digits than its factorization.

7927689168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2777 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The square root of 7927689168 is about 89037.5716649999. The cubic root of 7927689168 is about 1993.9558498581.

The spelling of 7927689168 in words is "seven billion, nine hundred twenty-seven million, six hundred eighty-nine thousand, one hundred sixty-eight".