71868416400 has 360 divisors, whose sum is σ = 282157503264. Its totient is φ = 17422387200.

The previous prime is 71868416381. The next prime is 71868416441. The reversal of 71868416400 is 461486817.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1035592 + ... + 1102808.

Almost surely, 2^71868416400 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 71868416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141078751632).

71868416400 is an abundant number, since it is smaller than the sum of its proper divisors (210289086864).

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

71868416400 is a wasteful number, since it uses less digits than its factorization.

71868416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67261 (or 67238 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 71868416400 in words is "seventy-one billion, eight hundred sixty-eight million, four hundred sixteen thousand, four hundred".