71546679360 has 672 divisors, whose sum is σ = 274367987712. Its totient is φ = 17000202240.

The previous prime is 71546679227. The next prime is 71546679371. The reversal of 71546679360 is 6397664517.

It is a happy number.

71546679360 is a `hidden beast` number, since 7 + 1 + 546 + 6 + 7 + 93 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71546679297 and 71546679306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194949897 + ... + 194950263.

It is an arithmetic number, because the mean of its divisors is an integer number (408285696).

Almost surely, 2^71546679360 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 71546679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137183993856).

71546679360 is an abundant number, since it is smaller than the sum of its proper divisors (202821308352).

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

71546679360 is a wasteful number, since it uses less digits than its factorization.

71546679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 71546679360 in words is "seventy-one billion, five hundred forty-six million, six hundred seventy-nine thousand, three hundred sixty".