71340756480 has 1120 divisors, whose sum is σ = 302273224704. Its totient is φ = 15801827328.

The previous prime is 71340756469. The next prime is 71340756527. The reversal of 71340756480 is 8465704317.

71340756480 is a `hidden beast` number, since 7 + 1 + 3 + 4 + 0 + 7 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 111 ways as a sum of consecutive naturals, for example, 561738177 + ... + 561738303.

Almost surely, 2^71340756480 is an apocalyptic number.

71340756480 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 71340756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151136612352).

71340756480 is an abundant number, since it is smaller than the sum of its proper divisors (230932468224).

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

71340756480 is an equidigital number, since it uses as much as digits as its factorization.

71340756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 71340756480 in words is "seventy-one billion, three hundred forty million, seven hundred fifty-six thousand, four hundred eighty".