71618800032 has 576 divisors, whose sum is σ = 243746979840. Its totient is φ = 19744819200.

The previous prime is 71618800021. The next prime is 71618800037. The reversal of 71618800032 is 23000881617.

71618800032 is a `hidden beast` number, since 7 + 1 + 618 + 8 + 0 + 0 + 0 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71618800032.

It is not an unprimeable number, because it can be changed into a prime (71618800037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103644807 + ... + 103645497.

It is an arithmetic number, because the mean of its divisors is an integer number (423171840).

Almost surely, 2^71618800032 is an apocalyptic number.

71618800032 is a gapful number since it is divisible by the number (72) 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 71618800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121873489920).

71618800032 is an abundant number, since it is smaller than the sum of its proper divisors (172128179808).

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

71618800032 is a wasteful number, since it uses less digits than its factorization.

71618800032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 71618800032 in words is "seventy-one billion, six hundred eighteen million, eight hundred thousand, thirty-two".