73171983360 has 704 divisors, whose sum is σ = 285995704320. Its totient is φ = 15606743040.

The previous prime is 73171983349. The next prime is 73171983397. The reversal of 73171983360 is 6338917137.

It is a super-2 number, since 2×73171983360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 96660102 + ... + 96660858.

Almost surely, 2^73171983360 is an apocalyptic number.

73171983360 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 73171983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142997852160).

73171983360 is an abundant number, since it is smaller than the sum of its proper divisors (212823720960).

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

73171983360 is a wasteful number, since it uses less digits than its factorization.

73171983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 73171983360 in words is "seventy-three billion, one hundred seventy-one million, nine hundred eighty-three thousand, three hundred sixty".