71676315648 has 432 divisors, whose sum is σ = 244948501980. Its totient is φ = 20127744000.

The previous prime is 71676315631. The next prime is 71676315649. The reversal of 71676315648 is 84651367617.

71676315648 is a `hidden beast` number, since 7 + 1 + 6 + 76 + 3 + 1 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43677656064 + 27998659584 = 208992^2 + 167328^2 .

It is a super-3 number, since 3×71676315648³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71676315594 and 71676315603.

It is not an unprimeable number, because it can be changed into a prime (71676315649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55092598 + ... + 55093898.

Almost surely, 2^71676315648 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 71676315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122474250990).

71676315648 is an abundant number, since it is smaller than the sum of its proper divisors (173272186332).

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

71676315648 is a wasteful number, since it uses less digits than its factorization.

71676315648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1374 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 71676315648 in words is "seventy-one billion, six hundred seventy-six million, three hundred fifteen thousand, six hundred forty-eight".