71668113753600 has 1080 divisors, whose sum is σ = 321305440135680. Its totient is φ = 15121168957440.

The previous prime is 71668113753583. The next prime is 71668113753601. The reversal of 71668113753600 is 635731186617.

71668113753600 is a `hidden beast` number, since 7 + 1 + 6 + 68 + 11 + 37 + 536 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71668113753601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72894081 + ... + 73870719.

Almost surely, 2^{71668113753600} is an apocalyptic number.

71668113753600 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 71668113753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160652720067840).

71668113753600 is an abundant number, since it is smaller than the sum of its proper divisors (249637326382080).

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

71668113753600 is a wasteful number, since it uses less digits than its factorization.

71668113753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976700 (or 976669 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 71668113753600 in words is "seventy-one trillion, six hundred sixty-eight billion, one hundred thirteen million, seven hundred fifty-three thousand, six hundred".