7971106000 has 320 divisors, whose sum is σ = 23164517376. Its totient is φ = 2614272000.

The previous prime is 7971105997. The next prime is 7971106001. The reversal of 7971106000 is 6011797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971106001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13441704 + ... + 13442296.

Almost surely, 2^7971106000 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 7971106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582258688).

7971106000 is an abundant number, since it is smaller than the sum of its proper divisors (15193411376).

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

7971106000 is a wasteful number, since it uses less digits than its factorization.

7971106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 31.

The square root of 7971106000 is about 89281.0506210584. The cubic root of 7971106000 is about 1997.5892620054.

Adding to 7971106000 its reverse (6011797), we get a palindrome (7977117797).

The spelling of 7971106000 in words is "seven billion, nine hundred seventy-one million, one hundred six thousand".