71789937070080 has 416 divisors, whose sum is σ = 237156018720768. Its totient is φ = 18529910784000.

The previous prime is 71789937070079. The next prime is 71789937070091. The reversal of 71789937070080 is 8007073998717.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71789937069993 and 71789937070020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319805880 + ... + 320030280.

Almost surely, 2^{71789937070080} 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 71789937070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118578009360384).

71789937070080 is an abundant number, since it is smaller than the sum of its proper divisors (165366081650688).

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

71789937070080 is a wasteful number, since it uses less digits than its factorization.

71789937070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224601 (or 224579 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 66.

The spelling of 71789937070080 in words is "seventy-one trillion, seven hundred eighty-nine billion, nine hundred thirty-seven million, seventy thousand, eighty".