71168648019840 has 1152 divisors, whose sum is σ = 289454873760000. Its totient is φ = 16064024739840.

The previous prime is 71168648019839. The next prime is 71168648019863. The reversal of 71168648019840 is 4891084686117.

71168648019840 is a `hidden beast` number, since 7 + 1 + 1 + 68 + 6 + 480 + 1 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29665962961 + ... + 29665965359.

It is an arithmetic number, because the mean of its divisors is an integer number (251262911250).

Almost surely, 2^{71168648019840} is an apocalyptic number.

71168648019840 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 71168648019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144727436880000).

71168648019840 is an abundant number, since it is smaller than the sum of its proper divisors (218286225740160).

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

71168648019840 is a wasteful number, since it uses less digits than its factorization.

71168648019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 71168648019840 in words is "seventy-one trillion, one hundred sixty-eight billion, six hundred forty-eight million, nineteen thousand, eight hundred forty".