71648950632 has 256 divisors, whose sum is σ = 214046392320. Its totient is φ = 19556812800.

The previous prime is 71648950609. The next prime is 71648950643. The reversal of 71648950632 is 23605984617.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253176363 + ... + 253176645.

It is an arithmetic number, because the mean of its divisors is an integer number (836118720).

It is a 1-persistent number, because it is pandigital, but 2⋅71648950632 = 143297901264 is not.

Almost surely, 2^71648950632 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 71648950632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107023196160).

71648950632 is an abundant number, since it is smaller than the sum of its proper divisors (142397441688).

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

71648950632 is a wasteful number, since it uses less digits than its factorization.

71648950632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 71648950632 in words is "seventy-one billion, six hundred forty-eight million, nine hundred fifty thousand, six hundred thirty-two".