71842000640 has 72 divisors (see below), whose sum is σ = 173079281088. Its totient is φ = 28570603520.

The previous prime is 71842000619. The next prime is 71842000649. The reversal of 71842000640 is 4600024817.

It is a super-2 number, since 2×71842000640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 71842000597 and 71842000606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71842000649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59225 + ... + 383655.

It is an arithmetic number, because the mean of its divisors is an integer number (2403878904).

Almost surely, 2^71842000640 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 71842000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86539640544).

71842000640 is an abundant number, since it is smaller than the sum of its proper divisors (101237280448).

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

71842000640 is a wasteful number, since it uses less digits than its factorization.

71842000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324625 (or 324611 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 71842000640 in words is "seventy-one billion, eight hundred forty-two million, six hundred forty", and thus it is an aban number.