71963416800 has 432 divisors, whose sum is σ = 277710975360. Its totient is φ = 17390208000.

The previous prime is 71963416793. The next prime is 71963416829. The reversal of 71963416800 is 861436917.

It is a happy number.

71963416800 is a `hidden beast` number, since 7 + 1 + 9 + 634 + 1 + 6 + 8 + 0 + 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 71 ways as a sum of consecutive naturals, for example, 28431535 + ... + 28434065.

It is an arithmetic number, because the mean of its divisors is an integer number (642849480).

Almost surely, 2^71963416800 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 71963416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138855487680).

71963416800 is an abundant number, since it is smaller than the sum of its proper divisors (205747558560).

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

71963416800 is a wasteful number, since it uses less digits than its factorization.

71963416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2911 counting only the distinct ones).

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

The spelling of 71963416800 in words is "seventy-one billion, nine hundred sixty-three million, four hundred sixteen thousand, eight hundred".