71640414720 has 1440 divisors, whose sum is σ = 314375592960. Its totient is φ = 14987427840.

The previous prime is 71640414719. The next prime is 71640414757. The reversal of 71640414720 is 2741404617.

It is a happy number.

71640414720 is a `hidden beast` number, since 7 + 1 + 640 + 4 + 1 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 804948436 + ... + 804948524.

It is an arithmetic number, because the mean of its divisors is an integer number (218316384).

Almost surely, 2^71640414720 is an apocalyptic number.

71640414720 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 71640414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157187796480).

71640414720 is an abundant number, since it is smaller than the sum of its proper divisors (242735178240).

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

71640414720 is a wasteful number, since it uses less digits than its factorization.

71640414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 71640414720 in words is "seventy-one billion, six hundred forty million, four hundred fourteen thousand, seven hundred twenty".