71683364200 has 192 divisors, whose sum is σ = 194804496000. Its totient is φ = 24521011200.

The previous prime is 71683364153. The next prime is 71683364201. The reversal of 71683364200 is 246338617.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (71683364201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39581295 + ... + 39583105.

It is an arithmetic number, because the mean of its divisors is an integer number (1014606750).

Almost surely, 2^71683364200 is an apocalyptic number.

71683364200 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 71683364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97402248000).

71683364200 is an abundant number, since it is smaller than the sum of its proper divisors (123121131800).

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

71683364200 is a wasteful number, since it uses less digits than its factorization.

71683364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 71683364200 in words is "seventy-one billion, six hundred eighty-three million, three hundred sixty-four thousand, two hundred".