73881175680 has 672 divisors, whose sum is σ = 287055267660. Its totient is φ = 18166726656.

The previous prime is 73881175679. The next prime is 73881175717. The reversal of 73881175680 is 8657118837.

It is a happy number.

73881175680 is a `hidden beast` number, since 73 + 8 + 8 + 1 + 1 + 7 + 568 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 162409536 + 73718766144 = 12744^2 + 271512^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 78848172 + ... + 78849108.

Almost surely, 2^73881175680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73881175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143527633830).

73881175680 is an abundant number, since it is smaller than the sum of its proper divisors (213174091980).

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

73881175680 is an equidigital number, since it uses as much as digits as its factorization.

73881175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 73881175680 in words is "seventy-three billion, eight hundred eighty-one million, one hundred seventy-five thousand, six hundred eighty".