71544742896 has 240 divisors, whose sum is σ = 225466104960. Its totient is φ = 19330191360.

The previous prime is 71544742823. The next prime is 71544742939. The reversal of 71544742896 is 69824744517.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2886910 + ... + 2911586.

It is an arithmetic number, because the mean of its divisors is an integer number (939442104).

Almost surely, 2^71544742896 is an apocalyptic number.

71544742896 is a gapful number since it is divisible by the number (76) 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 71544742896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112733052480).

71544742896 is an abundant number, since it is smaller than the sum of its proper divisors (153921362064).

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

71544742896 is a wasteful number, since it uses less digits than its factorization.

71544742896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24752 (or 24729 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 71544742896 in words is "seventy-one billion, five hundred forty-four million, seven hundred forty-two thousand, eight hundred ninety-six".