71409966734736 has 320 divisors, whose sum is σ = 236360940503040. Its totient is φ = 20219470387200.

The previous prime is 71409966734731. The next prime is 71409966734741. The reversal of 71409966734736 is 63743766990417.

71409966734736 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 9 + 96 + 67 + 3 + 473 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (71409966734731) and next prime (71409966734741).

It is a super-2 number, since 2×71409966734736² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (71409966734731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4340759311 + ... + 4340775761.

It is an arithmetic number, because the mean of its divisors is an integer number (738627939072).

Almost surely, 2^{71409966734736} 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 71409966734736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118180470251520).

71409966734736 is an abundant number, since it is smaller than the sum of its proper divisors (164950973768304).

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

71409966734736 is a wasteful number, since it uses less digits than its factorization.

71409966734736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29291 (or 29279 counting only the distinct ones).

The product of its (nonzero) digits is 864162432, while the sum is 72.

The spelling of 71409966734736 in words is "seventy-one trillion, four hundred nine billion, nine hundred sixty-six million, seven hundred thirty-four thousand, seven hundred thirty-six".