6957995616 has 216 divisors, whose sum is σ = 23423662080. Its totient is φ = 1946165760.

The previous prime is 6957995599. The next prime is 6957995617. The reversal of 6957995616 is 6165997596.

6957995616 is a `hidden beast` number, since 6 + 9 + 5 + 7 + 9 + 9 + 5 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6957995617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 445345 + ... + 460703.

It is an arithmetic number, because the mean of its divisors is an integer number (108442880).

Almost surely, 2^6957995616 is an apocalyptic number.

6957995616 is a gapful number since it is divisible by the number (66) 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 6957995616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711831040).

6957995616 is an abundant number, since it is smaller than the sum of its proper divisors (16465666464).

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

6957995616 is a wasteful number, since it uses less digits than its factorization.

6957995616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410 (or 15388 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 63.

The square root of 6957995616 is about 83414.6007363219. The cubic root of 6957995616 is about 1909.0972421212.

The spelling of 6957995616 in words is "six billion, nine hundred fifty-seven million, nine hundred ninety-five thousand, six hundred sixteen".