71534907648 has 648 divisors, whose sum is σ = 238463080128. Its totient is φ = 21342486528.

The previous prime is 71534907611. The next prime is 71534907683. The reversal of 71534907648 is 84670943517.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71534907594 and 71534907603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413496490 + ... + 413496662.

Almost surely, 2^71534907648 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 71534907648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119231540064).

71534907648 is an abundant number, since it is smaller than the sum of its proper divisors (166928172480).

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

71534907648 is a wasteful number, since it uses less digits than its factorization.

71534907648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 218 counting only the distinct ones).

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

The spelling of 71534907648 in words is "seventy-one billion, five hundred thirty-four million, nine hundred seven thousand, six hundred forty-eight".