73763417728 has 512 divisors, whose sum is σ = 208373760000. Its totient is φ = 25604812800.

The previous prime is 73763417723. The next prime is 73763417729. The reversal of 73763417728 is 82771436737.

It is not an unprimeable number, because it can be changed into a prime (73763417723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194626243 + ... + 194626621.

It is an arithmetic number, because the mean of its divisors is an integer number (406980000).

Almost surely, 2^73763417728 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 73763417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880000).

73763417728 is an abundant number, since it is smaller than the sum of its proper divisors (134610342272).

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

73763417728 is a wasteful number, since it uses less digits than its factorization.

73763417728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 443 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 55.

The spelling of 73763417728 in words is "seventy-three billion, seven hundred sixty-three million, four hundred seventeen thousand, seven hundred twenty-eight".