73675330624 has 189 divisors, whose sum is σ = 176133925989. Its totient is φ = 30487242240.

The previous prime is 73675330571. The next prime is 73675330633. The reversal of 73675330624 is 42603357637.

The square root of 73675330624 is 271432.

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

It can be written as a sum of positive squares in only one way, i.e., 65925697600 + 7749633024 = 256760^2 + 88032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 562407039 + ... + 562407169.

Almost surely, 2^73675330624 is an apocalyptic number.

73675330624 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

73675330624 is the 271432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73675330624

73675330624 is an abundant number, since it is smaller than the sum of its proper divisors (102458595365).

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

73675330624 is an equidigital number, since it uses as much as digits as its factorization.

73675330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 46.

The spelling of 73675330624 in words is "seventy-three billion, six hundred seventy-five million, three hundred thirty thousand, six hundred twenty-four".