71710755480 has 384 divisors, whose sum is σ = 289696417920. Its totient is φ = 14979686400.

The previous prime is 71710755433. The next prime is 71710755509. The reversal of 71710755480 is 8455701717.

71710755480 is a `hidden beast` number, since 7 + 1 + 7 + 10 + 7 + 554 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3297924 + ... + 3319596.

It is an arithmetic number, because the mean of its divisors is an integer number (754417755).

Almost surely, 2^71710755480 is an apocalyptic number.

71710755480 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 71710755480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144848208960).

71710755480 is an abundant number, since it is smaller than the sum of its proper divisors (217985662440).

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

71710755480 is a wasteful number, since it uses less digits than its factorization.

71710755480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21811 (or 21804 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 71710755480 in words is "seventy-one billion, seven hundred ten million, seven hundred fifty-five thousand, four hundred eighty".