71368012800 has 1584 divisors, whose sum is σ = 327864551040. Its totient is φ = 14438891520.

The previous prime is 71368012769. The next prime is 71368012801. The reversal of 71368012800 is 821086317.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71368012801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 520934332 + ... + 520934468.

Almost surely, 2^71368012800 is an apocalyptic number.

71368012800 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 71368012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163932275520).

71368012800 is an abundant number, since it is smaller than the sum of its proper divisors (256496538240).

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

71368012800 is a wasteful number, since it uses less digits than its factorization.

71368012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 71368012800 in words is "seventy-one billion, three hundred sixty-eight million, twelve thousand, eight hundred".