7963591680 has 352 divisors, whose sum is σ = 30879895680. Its totient is φ = 1930199040.

The previous prime is 7963591679. The next prime is 7963591693. The reversal of 7963591680 is 861953697.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518022 + ... + 1523258.

Almost surely, 2^7963591680 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 7963591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439947840).

7963591680 is an abundant number, since it is smaller than the sum of its proper divisors (22916304000).

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

7963591680 is a wasteful number, since it uses less digits than its factorization.

7963591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 7963591680 is about 89238.9583085773. The cubic root of 7963591680 is about 1996.9613590018.

The spelling of 7963591680 in words is "seven billion, nine hundred sixty-three million, five hundred ninety-one thousand, six hundred eighty".