71983649481856 has 128 divisors (see below), whose sum is σ = 172525972608000. Its totient is φ = 29224958837760.

The previous prime is 71983649481833. The next prime is 71983649481869. The reversal of 71983649481856 is 65818494638917.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372916375 + ... + 373109353.

It is an arithmetic number, because the mean of its divisors is an integer number (1347859161000).

Almost surely, 2^{71983649481856} is an apocalyptic number.

71983649481856 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 71983649481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86262986304000).

71983649481856 is an abundant number, since it is smaller than the sum of its proper divisors (100542323126144).

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

71983649481856 is a wasteful number, since it uses less digits than its factorization.

71983649481856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214930 (or 214918 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 79.

The spelling of 71983649481856 in words is "seventy-one trillion, nine hundred eighty-three billion, six hundred forty-nine million, four hundred eighty-one thousand, eight hundred fifty-six".