71696649443328 has 1152 divisors, whose sum is σ = 268788063398400. Its totient is φ = 18587822063616.

The previous prime is 71696649443281. The next prime is 71696649443339. The reversal of 71696649443328 is 82334494669617.

71696649443328 is a `hidden beast` number, since 7 + 1 + 6 + 9 + 66 + 494 + 43 + 32 + 8 = 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 (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2671944600 + ... + 2671971432.

It is an arithmetic number, because the mean of its divisors is an integer number (233322971700).

Almost surely, 2^{71696649443328} is an apocalyptic number.

71696649443328 is a gapful number since it is divisible by the number (78) 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 71696649443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134394031699200).

71696649443328 is an abundant number, since it is smaller than the sum of its proper divisors (197091413955072).

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

71696649443328 is a wasteful number, since it uses less digits than its factorization.

71696649443328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26949 (or 26917 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 71696649443328 in words is "seventy-one trillion, six hundred ninety-six billion, six hundred forty-nine million, four hundred forty-three thousand, three hundred twenty-eight".