71049366432 has 768 divisors, whose sum is σ = 249059059200. Its totient is φ = 19707494400.

The previous prime is 71049366407. The next prime is 71049366433. The reversal of 71049366432 is 23466394017.

71049366432 is a `hidden beast` number, since 71 + 0 + 4 + 93 + 66 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (71049366433) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 798307444 + ... + 798307532.

It is an arithmetic number, because the mean of its divisors is an integer number (324295650).

Almost surely, 2^71049366432 is an apocalyptic number.

71049366432 is a gapful number since it is divisible by the number (72) 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 71049366432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124529529600).

71049366432 is an abundant number, since it is smaller than the sum of its proper divisors (178009692768).

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

71049366432 is a wasteful number, since it uses less digits than its factorization.

71049366432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 71049366432 in words is "seventy-one billion, forty-nine million, three hundred sixty-six thousand, four hundred thirty-two".