71668334822400 has 1056 divisors, whose sum is σ = 270290756117760. Its totient is φ = 18598035456000.

The previous prime is 71668334822393. The next prime is 71668334822411. The reversal of 71668334822400 is 422843386617.

71668334822400 is a `hidden beast` number, since 7 + 1 + 6 + 68 + 334 + 8 + 2 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11930800197 + ... + 11930806203.

Almost surely, 2^{71668334822400} 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 71668334822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135145378058880).

71668334822400 is an abundant number, since it is smaller than the sum of its proper divisors (198622421295360).

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

71668334822400 is a wasteful number, since it uses less digits than its factorization.

71668334822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 71668334822400 in words is "seventy-one trillion, six hundred sixty-eight billion, three hundred thirty-four million, eight hundred twenty-two thousand, four hundred".