74873376900 has 243 divisors, whose sum is σ = 273212273061. Its totient is φ = 17100780480.

The previous prime is 74873376869. The next prime is 74873376901. The reversal of 74873376900 is 967337847.

It is a happy number.

The square root of 74873376900 is 273630.

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

74873376900 is a `hidden beast` number, since 7 + 487 + 3 + 3 + 76 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26954415684 + 47918961216 = 164178^2 + 218904^2 .

It is a super-2 number, since 2×74873376900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74873376901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 57461649 + ... + 57462951.

Almost surely, 2^74873376900 is an apocalyptic number.

74873376900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

74873376900 is the 273630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74873376900

74873376900 is an abundant number, since it is smaller than the sum of its proper divisors (198338896161).

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

74873376900 is a wasteful number, since it uses less digits than its factorization.

74873376900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 74873376900 in words is "seventy-four billion, eight hundred seventy-three million, three hundred seventy-six thousand, nine hundred".