71840146560 has 768 divisors, whose sum is σ = 289509292800. Its totient is φ = 15018393600.

The previous prime is 71840146549. The next prime is 71840146583. The reversal of 71840146560 is 6564104817.

It is a super-3 number, since 3×71840146560³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 184678846 + ... + 184679234.

It is an arithmetic number, because the mean of its divisors is an integer number (376965225).

Almost surely, 2^71840146560 is an apocalyptic number.

71840146560 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 71840146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144754646400).

71840146560 is an abundant number, since it is smaller than the sum of its proper divisors (217669146240).

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

71840146560 is a wasteful number, since it uses less digits than its factorization.

71840146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 71840146560 in words is "seventy-one billion, eight hundred forty million, one hundred forty-six thousand, five hundred sixty".