71380651680 has 288 divisors, whose sum is σ = 270531213120. Its totient is φ = 17570442240.

The previous prime is 71380651669. The next prime is 71380651681. The reversal of 71380651680 is 8615608317.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×71380651680² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (71380651681) 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 47 ways as a sum of consecutive naturals, for example, 681195 + ... + 778965.

It is an arithmetic number, because the mean of its divisors is an integer number (939344490).

Almost surely, 2^71380651680 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 71380651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135265606560).

71380651680 is an abundant number, since it is smaller than the sum of its proper divisors (199150561440).

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

71380651680 is a wasteful number, since it uses less digits than its factorization.

71380651680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97821 (or 97794 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 71380651680 in words is "seventy-one billion, three hundred eighty million, six hundred fifty-one thousand, six hundred eighty".