74216248466400 has 576 divisors, whose sum is σ = 277728158635200. Its totient is φ = 19104627548160.

The previous prime is 74216248466333. The next prime is 74216248466413. The reversal of 74216248466400 is 466484261247.

74216248466400 is a `hidden beast` number, since 7 + 4 + 2 + 1 + 62 + 484 + 66 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4217542402 + ... + 4217559998.

It is an arithmetic number, because the mean of its divisors is an integer number (482166942075).

Almost surely, 2^{74216248466400} 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 74216248466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138864079317600).

74216248466400 is an abundant number, since it is smaller than the sum of its proper divisors (203511910168800).

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

74216248466400 is a wasteful number, since it uses less digits than its factorization.

74216248466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24388 (or 24369 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 74216248466400 in words is "seventy-four trillion, two hundred sixteen billion, two hundred forty-eight million, four hundred sixty-six thousand, four hundred".