71649474624 has 252 divisors, whose sum is σ = 257278374444. Its totient is φ = 18896467968.

The previous prime is 71649474623. The next prime is 71649474647. The reversal of 71649474624 is 42647494617.

It is a happy number.

71649474624 is a `hidden beast` number, since 7 + 1 + 6 + 4 + 9 + 4 + 7 + 4 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32616360000 + 39033114624 = 180600^2 + 197568^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (71649474623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269274 + ... + 464550.

Almost surely, 2^71649474624 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 71649474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128639187222).

71649474624 is an abundant number, since it is smaller than the sum of its proper divisors (185628899820).

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

71649474624 is a wasteful number, since it uses less digits than its factorization.

71649474624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195322 (or 195302 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 71649474624 in words is "seventy-one billion, six hundred forty-nine million, four hundred seventy-four thousand, six hundred twenty-four".