71479881408 has 112 divisors (see below), whose sum is σ = 203751403520. Its totient is φ = 21985219584.

The previous prime is 71479881377. The next prime is 71479881449. The reversal of 71479881408 is 80418897417.

It is a super-2 number, since 2×71479881408² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9898023 + ... + 9905241.

It is an arithmetic number, because the mean of its divisors is an integer number (1819208960).

Almost surely, 2^71479881408 is an apocalyptic number.

71479881408 is a gapful number since it is divisible by the number (78) 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 71479881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101875701760).

71479881408 is an abundant number, since it is smaller than the sum of its proper divisors (132271522112).

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

71479881408 is a wasteful number, since it uses less digits than its factorization.

71479881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11214 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 57.

The spelling of 71479881408 in words is "seventy-one billion, four hundred seventy-nine million, eight hundred eighty-one thousand, four hundred eight".