71684448996960 has 192 divisors, whose sum is σ = 250900333790400. Its totient is φ = 19115490226176.

The previous prime is 71684448996947. The next prime is 71684448996967. The reversal of 71684448996960 is 6969984448617.

71684448996960 is a `hidden beast` number, since 7 + 1 + 6 + 8 + 44 + 489 + 9 + 6 + 96 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71684448996960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71684448996967) 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 31 ways as a sum of consecutive naturals, for example, 288836442 + ... + 289084518.

It is an arithmetic number, because the mean of its divisors is an integer number (1306772571825).

Almost surely, 2^{71684448996960} is an apocalyptic number.

It is an amenable number.

71684448996960 is an abundant number, since it is smaller than the sum of its proper divisors (179215884793440).

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

71684448996960 is a wasteful number, since it uses less digits than its factorization.

71684448996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314990 (or 314976 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 71684448996960 in words is "seventy-one trillion, six hundred eighty-four billion, four hundred forty-eight million, nine hundred ninety-six thousand, nine hundred sixty".