74966400 has 288 divisors, whose sum is σ = 283631400. Its totient is φ = 18800640.

The previous prime is 74966393. The next prime is 74966429. The reversal of 74966400 is 466947.

74966400 is a `hidden beast` number, since 7 + 4 + 9 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×74966400² = 11239922257920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547132 + ... + 547268.

Almost surely, 2^74966400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141815700).

74966400 is an abundant number, since it is smaller than the sum of its proper divisors (208665000).

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

74966400 is a wasteful number, since it uses less digits than its factorization.

74966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 74966400 is about 8658.3139236228. The cubic root of 74966400 is about 421.6533469384.

The spelling of 74966400 in words is "seventy-four million, nine hundred sixty-six thousand, four hundred".