74507161600 has 117 divisors (see below), whose sum is σ = 184972053423. Its totient is φ = 29767925760.

The previous prime is 74507161559. The next prime is 74507161609. The reversal of 74507161600 is 616170547.

The square root of 74507161600 is 272960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29793521664 + 44713639936 = 172608^2 + 211456^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 74507161600.

It is not an unprimeable number, because it can be changed into a prime (74507161609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87346774 + ... + 87347626.

Almost surely, 2^74507161600 is an apocalyptic number.

74507161600 is the 272960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74507161600

74507161600 is an abundant number, since it is smaller than the sum of its proper divisors (110464891823).

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

74507161600 is an frugal number, since it uses more digits than its factorization.

74507161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 74507161600 in words is "seventy-four billion, five hundred seven million, one hundred sixty-one thousand, six hundred".