73738316304 has 225 divisors, whose sum is σ = 225812701917. Its totient is φ = 23227129728.

The previous prime is 73738316299. The next prime is 73738316339. The reversal of 73738316304 is 40361383737.

The square root of 73738316304 is 271548.

It is a perfect power (a square), and thus also a powerful number.

73738316304 is a `hidden beast` number, since 7 + 3 + 7 + 3 + 8 + 3 + 1 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49417290000 + 24321026304 = 222300^2 + 155952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73738316304.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 185738634 + ... + 185739030.

Almost surely, 2^73738316304 is an apocalyptic number.

73738316304 is the 271548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73738316304

73738316304 is an abundant number, since it is smaller than the sum of its proper divisors (152074385613).

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

73738316304 is an equidigital number, since it uses as much as digits as its factorization.

73738316304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 73738316304 in words is "seventy-three billion, seven hundred thirty-eight million, three hundred sixteen thousand, three hundred four".