71066634240 has 384 divisors, whose sum is σ = 260742343680. Its totient is φ = 16187326464.

The previous prime is 71066634187. The next prime is 71066634257. The reversal of 71066634240 is 4243666017.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 121067227 + ... + 121067813.

It is an arithmetic number, because the mean of its divisors is an integer number (679016520).

Almost surely, 2^71066634240 is an apocalyptic number.

71066634240 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 71066634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130371171840).

71066634240 is an abundant number, since it is smaller than the sum of its proper divisors (189675709440).

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

71066634240 is a wasteful number, since it uses less digits than its factorization.

71066634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 71066634240 in words is "seventy-one billion, sixty-six million, six hundred thirty-four thousand, two hundred forty".