71933652648 has 192 divisors, whose sum is σ = 236264071680. Its totient is φ = 19472140800.

The previous prime is 71933652647. The next prime is 71933652689. The reversal of 71933652648 is 84625633917.

71933652648 is a `hidden beast` number, since 7 + 19 + 3 + 365 + 264 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71933652594 and 71933652603.

It is not an unprimeable number, because it can be changed into a prime (71933652641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206490 + ... + 431862.

It is an arithmetic number, because the mean of its divisors is an integer number (1230542040).

Almost surely, 2^71933652648 is an apocalyptic number.

71933652648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71933652648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118132035840).

71933652648 is an abundant number, since it is smaller than the sum of its proper divisors (164330419032).

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

71933652648 is a wasteful number, since it uses less digits than its factorization.

71933652648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225440 (or 225433 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 71933652648 in words is "seventy-one billion, nine hundred thirty-three million, six hundred fifty-two thousand, six hundred forty-eight".