74348928900 has 243 divisors, whose sum is σ = 238526362893. Its totient is φ = 19370476800.

The previous prime is 74348928893. The next prime is 74348928971. The reversal of 74348928900 is 982984347.

The square root of 74348928900 is 272670.

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

74348928900 is a `hidden beast` number, since 74 + 3 + 489 + 2 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 63253256004 + 11095672896 = 251502^2 + 105336^2 .

It is a super-3 number, since 3×74348928900³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 498986026 + ... + 498986174.

Almost surely, 2^74348928900 is an apocalyptic number.

74348928900 is the 272670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74348928900

74348928900 is an abundant number, since it is smaller than the sum of its proper divisors (164177433993).

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

74348928900 is a wasteful number, since it uses less digits than its factorization.

74348928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 74348928900 in words is "seventy-four billion, three hundred forty-eight million, nine hundred twenty-eight thousand, nine hundred".