73484366400 has 441 divisors, whose sum is σ = 272186577673. Its totient is φ = 19517760000.

The previous prime is 73484366381. The next prime is 73484366411. The reversal of 73484366400 is 466348437.

The square root of 73484366400 is 271080.

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

73484366400 is a `hidden beast` number, since 73 + 484 + 3 + 66 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26454371904 + 47029994496 = 162648^2 + 216864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 292766275 + ... + 292766525.

Almost surely, 2^73484366400 is an apocalyptic number.

73484366400 is the 271080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73484366400

73484366400 is an abundant number, since it is smaller than the sum of its proper divisors (198702211273).

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

73484366400 is an frugal number, since it uses more digits than its factorization.

73484366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 73484366400 in words is "seventy-three billion, four hundred eighty-four million, three hundred sixty-six thousand, four hundred".