71174484480 has 480 divisors, whose sum is σ = 252037868544. Its totient is φ = 17121280000.

The previous prime is 71174484457. The next prime is 71174484487. The reversal of 71174484480 is 8448447117.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71174484487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177492280 + ... + 177492680.

Almost surely, 2^71174484480 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 71174484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126018934272).

71174484480 is an abundant number, since it is smaller than the sum of its proper divisors (180863384064).

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

71174484480 is a wasteful number, since it uses less digits than its factorization.

71174484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 71174484480 in words is "seventy-one billion, one hundred seventy-four million, four hundred eighty-four thousand, four hundred eighty".