73753404660 has 720 divisors, whose sum is σ = 268363141200. Its totient is φ = 16849907712.

The previous prime is 73753404631. The next prime is 73753404691. The reversal of 73753404660 is 6640435737.

73753404660 is a `hidden beast` number, since 73 + 7 + 534 + 0 + 46 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7785591696 + 65967812964 = 88236^2 + 256842^2 .

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 676636686 + ... + 676636794.

It is an arithmetic number, because the mean of its divisors is an integer number (372726585).

Almost surely, 2^73753404660 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 73753404660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134181570600).

73753404660 is an abundant number, since it is smaller than the sum of its proper divisors (194609736540).

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

73753404660 is a wasteful number, since it uses less digits than its factorization.

73753404660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 73753404660 in words is "seventy-three billion, seven hundred fifty-three million, four hundred four thousand, six hundred sixty".