7927663968 has 288 divisors, whose sum is σ = 27897246720. Its totient is φ = 2145242880.

The previous prime is 7927663903. The next prime is 7927663999. The reversal of 7927663968 is 8693667297.

It is a tau number, because it is divible by the number of its divisors (288).

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, 2181513 + ... + 2185143.

It is an arithmetic number, because the mean of its divisors is an integer number (96865440).

Almost surely, 2^7927663968 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 7927663968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948623360).

7927663968 is an abundant number, since it is smaller than the sum of its proper divisors (19969582752).

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

7927663968 is a wasteful number, since it uses less digits than its factorization.

7927663968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3662 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 7927663968 is about 89037.4301515941. The cubic root of 7927663968 is about 1993.9537371054.

The spelling of 7927663968 in words is "seven billion, nine hundred twenty-seven million, six hundred sixty-three thousand, nine hundred sixty-eight".