71663883600 has 240 divisors, whose sum is σ = 243276304320. Its totient is φ = 18000998400.

The previous prime is 71663883581. The next prime is 71663883619. The reversal of 71663883600 is 638836617.

It is an interprime number because it is at equal distance from previous prime (71663883581) and next prime (71663883619).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 71663883600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1401687 + ... + 1451913.

It is an arithmetic number, because the mean of its divisors is an integer number (1013651268).

Almost surely, 2^71663883600 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 71663883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121638152160).

71663883600 is an abundant number, since it is smaller than the sum of its proper divisors (171612420720).

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

71663883600 is a wasteful number, since it uses less digits than its factorization.

71663883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50318 (or 50307 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 71663883600 in words is "seventy-one billion, six hundred sixty-three million, eight hundred eighty-three thousand, six hundred".