73354305600 has 567 divisors, whose sum is σ = 272420136261. Its totient is φ = 18720460800.

The previous prime is 73354305587. The next prime is 73354305641. The reversal of 73354305600 is 650345337.

The square root of 73354305600 is 270840.

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

73354305600 is a `hidden beast` number, since 7 + 3 + 3 + 5 + 43 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 56830745664 + 16523559936 = 238392^2 + 128544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1202529570 + ... + 1202529630.

Almost surely, 2^73354305600 is an apocalyptic number.

73354305600 is the 270840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73354305600

73354305600 is an abundant number, since it is smaller than the sum of its proper divisors (199065830661).

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

73354305600 is a wasteful number, since it uses less digits than its factorization.

73354305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

Multiplying 73354305600 by its sum of digits (36), we get a square (2640755001600 = 1625040²).

73354305600 divided by its sum of digits (36) gives a square (2037619600 = 45140²).

The spelling of 73354305600 in words is "seventy-three billion, three hundred fifty-four million, three hundred five thousand, six hundred".