74561763600 has 675 divisors, whose sum is σ = 281895493341. Its totient is φ = 18873907200.

The previous prime is 74561763587. The next prime is 74561763623. The reversal of 74561763600 is 636716547.

The square root of 74561763600 is 273060.

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

74561763600 is a `hidden beast` number, since 7 + 4 + 5 + 6 + 1 + 7 + 636 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 55211840784 + 19349922816 = 234972^2 + 139104^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×74561763600² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1818579580 + ... + 1818579620.

Almost surely, 2^74561763600 is an apocalyptic number.

74561763600 is the 273060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74561763600

74561763600 is an abundant number, since it is smaller than the sum of its proper divisors (207333729741).

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

74561763600 is a wasteful number, since it uses less digits than its factorization.

74561763600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 74561763600 in words is "seventy-four billion, five hundred sixty-one million, seven hundred sixty-three thousand, six hundred".