71773490880 has 1792 divisors, whose sum is σ = 335913984000. Its totient is φ = 14485008384.

The previous prime is 71773490863. The next prime is 71773490941. The reversal of 71773490880 is 8809437717.

71773490880 is a `hidden beast` number, since 7 + 1 + 7 + 73 + 490 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 3120586549 + ... + 3120586571.

It is an arithmetic number, because the mean of its divisors is an integer number (187452000).

Almost surely, 2^71773490880 is an apocalyptic number.

71773490880 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 71773490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167956992000).

71773490880 is an abundant number, since it is smaller than the sum of its proper divisors (264140493120).

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

71773490880 is an equidigital number, since it uses as much as digits as its factorization.

71773490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 71773490880 in words is "seventy-one billion, seven hundred seventy-three million, four hundred ninety thousand, eight hundred eighty".