71047966080 has 512 divisors, whose sum is σ = 280317542400. Its totient is φ = 14904852480.

The previous prime is 71047966051. The next prime is 71047966111. The reversal of 71047966080 is 8066974017.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33370456 + ... + 33372584.

It is an arithmetic number, because the mean of its divisors is an integer number (547495200).

Almost surely, 2^71047966080 is an apocalyptic number.

71047966080 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 71047966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140158771200).

71047966080 is an abundant number, since it is smaller than the sum of its proper divisors (209269576320).

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

71047966080 is a wasteful number, since it uses less digits than its factorization.

71047966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 71047966080 in words is "seventy-one billion, forty-seven million, nine hundred sixty-six thousand, eighty".