71714784960 has 1512 divisors, whose sum is σ = 324041268096. Its totient is φ = 14491975680.

The previous prime is 71714784923. The next prime is 71714784961. The reversal of 71714784960 is 6948741717.

It is a happy number.

71714784960 is a `hidden beast` number, since 7 + 1 + 7 + 147 + 8 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71714784897 and 71714784906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71714784961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 739327632 + ... + 739327728.

It is an arithmetic number, because the mean of its divisors is an integer number (214313008).

Almost surely, 2^71714784960 is an apocalyptic number.

71714784960 is a gapful number since it is divisible by the number (70) 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 71714784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162020634048).

71714784960 is an abundant number, since it is smaller than the sum of its proper divisors (252326483136).

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

71714784960 is a wasteful number, since it uses less digits than its factorization.

71714784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 71714784960 in words is "seventy-one billion, seven hundred fourteen million, seven hundred eighty-four thousand, nine hundred sixty".