71573765066496 has 1728 divisors, whose sum is σ = 272688411340800. Its totient is φ = 18184642560000.

The previous prime is 71573765066417. The next prime is 71573765066501. The reversal of 71573765066496 is 69466056737517.

71573765066496 is a `hidden beast` number, since 7 + 1 + 5 + 7 + 3 + 76 + 5 + 0 + 66 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 70935346440 + ... + 70935347448.

It is an arithmetic number, because the mean of its divisors is an integer number (157805793600).

Almost surely, 2^{71573765066496} 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 71573765066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136344205670400).

71573765066496 is an abundant number, since it is smaller than the sum of its proper divisors (201114646274304).

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

71573765066496 is a wasteful number, since it uses less digits than its factorization.

71573765066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1200225600, while the sum is 72.

The spelling of 71573765066496 in words is "seventy-one trillion, five hundred seventy-three billion, seven hundred sixty-five million, sixty-six thousand, four hundred ninety-six".