7871363136 has 336 divisors, whose sum is σ = 28993063680. Its totient is φ = 2075673600.

The previous prime is 7871363131. The next prime is 7871363173. The reversal of 7871363136 is 6313631787.

It is a happy number.

7871363136 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 3 + 631 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7871363091 and 7871363100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7871363131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097161 + ... + 1104311.

It is an arithmetic number, because the mean of its divisors is an integer number (86288880).

Almost surely, 2^7871363136 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 7871363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496531840).

7871363136 is an abundant number, since it is smaller than the sum of its proper divisors (21121700544).

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

7871363136 is a wasteful number, since it uses less digits than its factorization.

7871363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7199 (or 7176 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 7871363136 is about 88720.7029728687. The cubic root of 7871363136 is about 1989.2222861024. Note that the first 4 decimals are identical.

The spelling of 7871363136 in words is "seven billion, eight hundred seventy-one million, three hundred sixty-three thousand, one hundred thirty-six".