71660961792 has 960 divisors, whose sum is σ = 271196937000. Its totient is φ = 18728091648.

The previous prime is 71660961733. The next prime is 71660961809. The reversal of 71660961792 is 29716906617.

71660961792 is a `hidden beast` number, since 7 + 16 + 6 + 0 + 9 + 617 + 9 + 2 = 666.

It is a super-3 number, since 3×71660961792³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2471067634 + ... + 2471067662.

Almost surely, 2^71660961792 is an apocalyptic number.

71660961792 is a gapful number since it is divisible by the number (72) 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 71660961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135598468500).

71660961792 is an abundant number, since it is smaller than the sum of its proper divisors (199535975208).

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

71660961792 is an equidigital number, since it uses as much as digits as its factorization.

71660961792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 71660961792 in words is "seventy-one billion, six hundred sixty million, nine hundred sixty-one thousand, seven hundred ninety-two".