71069963328 has 224 divisors, whose sum is σ = 257148299520. Its totient is φ = 18743685120.

The previous prime is 71069963317. The next prime is 71069963333. The reversal of 71069963328 is 82336996017.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68733 + ... + 383228.

It is an arithmetic number, because the mean of its divisors is an integer number (1147983480).

Almost surely, 2^71069963328 is an apocalyptic number.

71069963328 is a gapful number since it is divisible by the number (78) 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 71069963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128574149760).

71069963328 is an abundant number, since it is smaller than the sum of its proper divisors (186078336192).

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

71069963328 is a wasteful number, since it uses less digits than its factorization.

71069963328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452002 (or 451986 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 71069963328 in words is "seventy-one billion, sixty-nine million, nine hundred sixty-three thousand, three hundred twenty-eight".