73276810704 has 200 divisors, whose sum is σ = 219799447560. Its totient is φ = 23540170752.

The previous prime is 73276810679. The next prime is 73276810723. The reversal of 73276810704 is 40701867237.

It can be written as a sum of positive squares in 4 ways, for example, as 668119104 + 72608691600 = 25848^2 + 269460^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73276810704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25292584 + ... + 25295480.

Almost surely, 2^73276810704 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 73276810704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109899723780).

73276810704 is an abundant number, since it is smaller than the sum of its proper divisors (146522636856).

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

73276810704 is a wasteful number, since it uses less digits than its factorization.

73276810704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 73276810704 in words is "seventy-three billion, two hundred seventy-six million, eight hundred ten thousand, seven hundred four".