71944104960 has 2112 divisors, whose sum is σ = 344996467200. Its totient is φ = 14046068736.

The previous prime is 71944104959. The next prime is 71944104989. The reversal of 71944104960 is 6940144917.

71944104960 is a `hidden beast` number, since 7 + 194 + 410 + 49 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1673118699 + ... + 1673118741.

It is an arithmetic number, because the mean of its divisors is an integer number (163350600).

Almost surely, 2^71944104960 is an apocalyptic number.

71944104960 is a gapful number since it is divisible by the number (70) 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 71944104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172498233600).

71944104960 is an abundant number, since it is smaller than the sum of its proper divisors (273052362240).

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

71944104960 is a wasteful number, since it uses less digits than its factorization.

71944104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 71944104960 in words is "seventy-one billion, nine hundred forty-four million, one hundred four thousand, nine hundred sixty".