7963728192 has 336 divisors, whose sum is σ = 27266383872. Its totient is φ = 2257528320.

The previous prime is 7963728169. The next prime is 7963728257. The reversal of 7963728192 is 2918273697.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 20792833 + ... + 20793215.

It is an arithmetic number, because the mean of its divisors is an integer number (81149952).

Almost surely, 2^7963728192 is an apocalyptic number.

7963728192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7963728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633191936).

7963728192 is an abundant number, since it is smaller than the sum of its proper divisors (19302655680).

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

7963728192 is a wasteful number, since it uses less digits than its factorization.

7963728192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 586 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 7963728192 is about 89239.7231730354. The cubic root of 7963728192 is about 1996.9727695832.

The spelling of 7963728192 in words is "seven billion, nine hundred sixty-three million, seven hundred twenty-eight thousand, one hundred ninety-two".