71843693376 has 448 divisors, whose sum is σ = 246518988800. Its totient is φ = 18329794560.

The previous prime is 71843693357. The next prime is 71843693393. The reversal of 71843693376 is 67339634817.

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

It is a congruent number.

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, 26538615 + ... + 26541321.

It is an arithmetic number, because the mean of its divisors is an integer number (550265600).

Almost surely, 2^71843693376 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 71843693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123259494400).

71843693376 is an abundant number, since it is smaller than the sum of its proper divisors (174675295424).

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

71843693376 is a wasteful number, since it uses less digits than its factorization.

71843693376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2763 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 57.

It can be divided in two parts, 7184 and 3693376, that added together give a triangular number (3700560 = T₂₇₂₀).

The spelling of 71843693376 in words is "seventy-one billion, eight hundred forty-three million, six hundred ninety-three thousand, three hundred seventy-six".