71678689280 has 288 divisors, whose sum is σ = 191913841728. Its totient is φ = 25480396800.

The previous prime is 71678689253. The next prime is 71678689297. The reversal of 71678689280 is 8298687617.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439746479 + ... + 439746641.

It is an arithmetic number, because the mean of its divisors is an integer number (666367506).

Almost surely, 2^71678689280 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 71678689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95956920864).

71678689280 is an abundant number, since it is smaller than the sum of its proper divisors (120235152448).

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

71678689280 is an equidigital number, since it uses as much as digits as its factorization.

71678689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 62.

The spelling of 71678689280 in words is "seventy-one billion, six hundred seventy-eight million, six hundred eighty-nine thousand, two hundred eighty".