71647006806144 has 768 divisors, whose sum is σ = 272765051919360. Its totient is φ = 18176804352000.

The previous prime is 71647006806019. The next prime is 71647006806169. The reversal of 71647006806144 is 44160860074617.

It is a happy number.

71647006806144 is a `hidden beast` number, since 7 + 16 + 4 + 7 + 0 + 0 + 6 + 8 + 0 + 614 + 4 = 666.

It is a super-2 number, since 2×71647006806144² (a number of 29 digits) contains 22 as substring.

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, 102637494 + ... + 103333194.

It is an arithmetic number, because the mean of its divisors is an integer number (355162828020).

Almost surely, 2^{71647006806144} 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 71647006806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136382525959680).

71647006806144 is an abundant number, since it is smaller than the sum of its proper divisors (201118045113216).

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

71647006806144 is a wasteful number, since it uses less digits than its factorization.

71647006806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695791 (or 695767 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 71647006806144 in words is "seventy-one trillion, six hundred forty-seven billion, six million, eight hundred six thousand, one hundred forty-four".