71808489392640 has 5120 divisors, whose sum is σ = 337898373120000. Its totient is φ = 12781922549760.

The previous prime is 71808489392579. The next prime is 71808489392657. The reversal of 71808489392640 is 4629398480817.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 565421176257 + ... + 565421176383.

It is an arithmetic number, because the mean of its divisors is an integer number (65995776000).

Almost surely, 2^{71808489392640} is an apocalyptic number.

71808489392640 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 71808489392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168949186560000).

71808489392640 is an abundant number, since it is smaller than the sum of its proper divisors (266089883727360).

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

71808489392640 is a wasteful number, since it uses less digits than its factorization.

71808489392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 69.

The spelling of 71808489392640 in words is "seventy-one trillion, eight hundred eight billion, four hundred eighty-nine million, three hundred ninety-two thousand, six hundred forty".