7968143384100 has 243 divisors, whose sum is σ = 26115199504849. Its totient is φ = 2031957153600.

The previous prime is 7968143384063. The next prime is 7968143384137. The reversal of 7968143384100 is 14833418697.

The square root of 7968143384100 is 2822790.

It is a perfect power (a square), and thus also a powerful number.

7968143384100 is a `hidden beast` number, since 7 + 96 + 81 + 433 + 8 + 41 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7968143384063) and next prime (7968143384137).

It can be written as a sum of positive squares in only one way, i.e., 2868531618276 + 5099611765824 = 1693674^2 + 2258232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1947723055 + ... + 1947727145.

Almost surely, 2^{7968143384100} is an apocalyptic number.

7968143384100 is the 2822790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7968143384100

7968143384100 is an abundant number, since it is smaller than the sum of its proper divisors (18147056120749).

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

7968143384100 is a wasteful number, since it uses less digits than its factorization.

7968143384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7968143384100 in words is "seven trillion, nine hundred sixty-eight billion, one hundred forty-three million, three hundred eighty-four thousand, one hundred".