71633068920 has 192 divisors, whose sum is σ = 268097955840. Its totient is φ = 16248211200.

The previous prime is 71633068919. The next prime is 71633068933. The reversal of 71633068920 is 2986033617.

71633068920 is a `hidden beast` number, since 7 + 1 + 633 + 0 + 6 + 8 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221625 + ... + 438615.

It is an arithmetic number, because the mean of its divisors is an integer number (1396343520).

Almost surely, 2^71633068920 is an apocalyptic number.

71633068920 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 71633068920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134048977920).

71633068920 is an abundant number, since it is smaller than the sum of its proper divisors (196464886920).

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

71633068920 is a wasteful number, since it uses less digits than its factorization.

71633068920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217146 (or 217139 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 71633068920 in words is "seventy-one billion, six hundred thirty-three million, sixty-eight thousand, nine hundred twenty".