71938633840 has 40 divisors (see below), whose sum is σ = 167268535200. Its totient is φ = 28773524736.

The previous prime is 71938633757. The next prime is 71938633849. The reversal of 71938633840 is 4833683917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×71938633840³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71938633849) 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, 2153586 + ... + 2186734.

It is an arithmetic number, because the mean of its divisors is an integer number (4181713380).

Almost surely, 2^71938633840 is an apocalyptic number.

It is an amenable number.

71938633840 is an abundant number, since it is smaller than the sum of its proper divisors (95329901360).

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

71938633840 is a wasteful number, since it uses less digits than its factorization.

71938633840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60289 (or 60283 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 71938633840 in words is "seventy-one billion, nine hundred thirty-eight million, six hundred thirty-three thousand, eight hundred forty".