74090662416 has 75 divisors (see below), whose sum is σ = 214468237533. Its totient is φ = 24693621120.

The previous prime is 74090662397. The next prime is 74090662433. The reversal of 74090662416 is 61426609047.

74090662416 = T₇₁ + T₇₂ + ... + T₇₆₃₁.

The square root of 74090662416 is 272196.

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

74090662416 is a `hidden beast` number, since 7 + 4 + 0 + 9 + 0 + 6 + 624 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17636902416 + 56453760000 = 132804^2 + 237600^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9795276 + ... + 9802836.

Almost surely, 2^74090662416 is an apocalyptic number.

74090662416 is the 272196-th square number.

It is an amenable number.

74090662416 is an abundant number, since it is smaller than the sum of its proper divisors (140377575117).

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

74090662416 is an frugal number, since it uses more digits than its factorization.

74090662416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15142 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 74090662416 in words is "seventy-four billion, ninety million, six hundred sixty-two thousand, four hundred sixteen".