71980047360 has 880 divisors, whose sum is σ = 282957628800. Its totient is φ = 17493884928.

The previous prime is 71980047329. The next prime is 71980047367. The reversal of 71980047360 is 6374008917.

It is a super-2 number, since 2×71980047360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71980047367) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 911139801 + ... + 911139879.

It is an arithmetic number, because the mean of its divisors is an integer number (321542760).

Almost surely, 2^71980047360 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 71980047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141478814400).

71980047360 is an abundant number, since it is smaller than the sum of its proper divisors (210977581440).

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

71980047360 is an equidigital number, since it uses as much as digits as its factorization.

71980047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 71980047360 in words is "seventy-one billion, nine hundred eighty million, forty-seven thousand, three hundred sixty".