71640132480 has 1536 divisors, whose sum is σ = 320785920000. Its totient is φ = 15216574464.

The previous prime is 71640132479. The next prime is 71640132481. The reversal of 71640132480 is 8423104617.

71640132480 is a `hidden beast` number, since 7 + 1 + 6 + 40 + 132 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (71640132479) and next prime (71640132481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71640132481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 906837081 + ... + 906837159.

It is an arithmetic number, because the mean of its divisors is an integer number (208845000).

Almost surely, 2^71640132480 is an apocalyptic number.

71640132480 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 71640132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960000).

71640132480 is an abundant number, since it is smaller than the sum of its proper divisors (249145787520).

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

71640132480 is an equidigital number, since it uses as much as digits as its factorization.

71640132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 71640132480 in words is "seventy-one billion, six hundred forty million, one hundred thirty-two thousand, four hundred eighty".