74585794816 has 135 divisors (see below), whose sum is σ = 162899197853. Its totient is φ = 34083379200.

The previous prime is 74585794799. The next prime is 74585794819. The reversal of 74585794816 is 61849758547.

The square root of 74585794816 is 273104.

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

It can be written as a sum of positive squares in 7 ways, for example, as 51481794816 + 23104000000 = 226896^2 + 152000^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (67737600) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (74585794819) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 738473166 + ... + 738473266.

Almost surely, 2^74585794816 is an apocalyptic number.

74585794816 is the 273104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74585794816

74585794816 is an abundant number, since it is smaller than the sum of its proper divisors (88313403037).

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

74585794816 is an frugal number, since it uses more digits than its factorization.

74585794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 116 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 64.

Multiplying 74585794816 by its sum of digits (64), we get a square (4773490868224 = 2184832²).

74585794816 divided by its sum of digits (64) gives a square (1165403044 = 34138²).

The spelling of 74585794816 in words is "seventy-four billion, five hundred eighty-five million, seven hundred ninety-four thousand, eight hundred sixteen".