71469747360 has 960 divisors, whose sum is σ = 292114335744. Its totient is φ = 16286054400.

The previous prime is 71469747301. The next prime is 71469747367. The reversal of 71469747360 is 6374796417.

71469747360 is a `hidden beast` number, since 71 + 46 + 9 + 7 + 473 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71469747297 and 71469747306.

It is not an unprimeable number, because it can be changed into a prime (71469747367) 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 159 ways as a sum of consecutive naturals, for example, 232800327 + ... + 232800633.

Almost surely, 2^71469747360 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 71469747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146057167872).

71469747360 is an abundant number, since it is smaller than the sum of its proper divisors (220644588384).

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

71469747360 is a wasteful number, since it uses less digits than its factorization.

71469747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 71469747360 in words is "seventy-one billion, four hundred sixty-nine million, seven hundred forty-seven thousand, three hundred sixty".