71623721160768 has 448 divisors, whose sum is σ = 220768081777152. Its totient is φ = 20071227064320.

The previous prime is 71623721160737. The next prime is 71623721160809. The reversal of 71623721160768 is 86706112732617.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 24254560380 + ... + 24254563332.

It is an arithmetic number, because the mean of its divisors is an integer number (492785896824).

Almost surely, 2^{71623721160768} 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 71623721160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110384040888576).

71623721160768 is an abundant number, since it is smaller than the sum of its proper divisors (149144360616384).

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

71623721160768 is a wasteful number, since it uses less digits than its factorization.

71623721160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 71623721160768 in words is "seventy-one trillion, six hundred twenty-three billion, seven hundred twenty-one million, one hundred sixty thousand, seven hundred sixty-eight".