71877218268960 has 2304 divisors, whose sum is σ = 305837296128000. Its totient is φ = 15260050391040.

The previous prime is 71877218268917. The next prime is 71877218268983. The reversal of 71877218268960 is 6986281277817.

71877218268960 is a `hidden beast` number, since 71 + 87 + 7 + 218 + 268 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31677926706 + ... + 31677928974.

It is an arithmetic number, because the mean of its divisors is an integer number (132741882000).

Almost surely, 2^{71877218268960} 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 71877218268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152918648064000).

71877218268960 is an abundant number, since it is smaller than the sum of its proper divisors (233960077859040).

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

71877218268960 is a wasteful number, since it uses less digits than its factorization.

71877218268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 72.

The spelling of 71877218268960 in words is "seventy-one trillion, eight hundred seventy-seven billion, two hundred eighteen million, two hundred sixty-eight thousand, nine hundred sixty".