71633540160 has 896 divisors, whose sum is σ = 321166540800. Its totient is φ = 14621368320.

The previous prime is 71633540081. The next prime is 71633540179. The reversal of 71633540160 is 6104533617.

71633540160 is a `hidden beast` number, since 7 + 1 + 633 + 5 + 4 + 0 + 16 + 0 = 666.

It is a super-3 number, since 3×71633540160³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 24371971 + ... + 24374909.

It is an arithmetic number, because the mean of its divisors is an integer number (358444800).

Almost surely, 2^71633540160 is an apocalyptic number.

71633540160 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 71633540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160583270400).

71633540160 is an abundant number, since it is smaller than the sum of its proper divisors (249533000640).

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

71633540160 is a wasteful number, since it uses less digits than its factorization.

71633540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 71633540160 in words is "seventy-one billion, six hundred thirty-three million, five hundred forty thousand, one hundred sixty".