7861675968 has 196 divisors, whose sum is σ = 23553450480. Its totient is φ = 2602285056.

The previous prime is 7861675963. The next prime is 7861675979. The reversal of 7861675968 is 8695761687.

7861675968 is a `hidden beast` number, since 7 + 8 + 616 + 7 + 5 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7861675963) 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 27 ways as a sum of consecutive naturals, for example, 7791048 + ... + 7792056.

Almost surely, 2^7861675968 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 7861675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11776725240).

7861675968 is an abundant number, since it is smaller than the sum of its proper divisors (15691774512).

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

7861675968 is a wasteful number, since it uses less digits than its factorization.

7861675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1181 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 7861675968 is about 88666.0925495197. The cubic root of 7861675968 is about 1988.4059158150.

The spelling of 7861675968 in words is "seven billion, eight hundred sixty-one million, six hundred seventy-five thousand, nine hundred sixty-eight".