71417389680 has 960 divisors, whose sum is σ = 304648501248. Its totient is φ = 14594826240.

The previous prime is 71417389679. The next prime is 71417389697. The reversal of 71417389680 is 8698371417.

71417389680 is a `hidden beast` number, since 71 + 417 + 3 + 89 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 427648957 + ... + 427649123.

Almost surely, 2^71417389680 is an apocalyptic number.

71417389680 is a gapful number since it is divisible by the number (70) 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 71417389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152324250624).

71417389680 is an abundant number, since it is smaller than the sum of its proper divisors (233231111568).

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

71417389680 is a wasteful number, since it uses less digits than its factorization.

71417389680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 71417389680 in words is "seventy-one billion, four hundred seventeen million, three hundred eighty-nine thousand, six hundred eighty".