73494437760 has 384 divisors, whose sum is σ = 258599914560. Its totient is φ = 19229736960.

The previous prime is 73494437747. The next prime is 73494437777. The reversal of 73494437760 is 6773449437.

73494437760 is a `hidden beast` number, since 73 + 4 + 9 + 443 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 73494437697 and 73494437706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116472645 + ... + 116473275.

Almost surely, 2^73494437760 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 73494437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129299957280).

73494437760 is an abundant number, since it is smaller than the sum of its proper divisors (185105476800).

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

73494437760 is a wasteful number, since it uses less digits than its factorization.

73494437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 73494437760 in words is "seventy-three billion, four hundred ninety-four million, four hundred thirty-seven thousand, seven hundred sixty".