74213428936320 has 512 divisors, whose sum is σ = 269252081049600. Its totient is φ = 19312508436480.

The previous prime is 74213428936307. The next prime is 74213428936333. The reversal of 74213428936320 is 2363982431247.

It is a happy number.

74213428936320 is a `hidden beast` number, since 7 + 4 + 2 + 1 + 3 + 4 + 289 + 36 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (74213428936307) and next prime (74213428936333).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133590972 + ... + 134145348.

It is an arithmetic number, because the mean of its divisors is an integer number (525882970800).

Almost surely, 2^{74213428936320} 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 74213428936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134626040524800).

74213428936320 is an abundant number, since it is smaller than the sum of its proper divisors (195038652113280).

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

74213428936320 is a wasteful number, since it uses less digits than its factorization.

74213428936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554593 (or 554575 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 74213428936320 in words is "seventy-four trillion, two hundred thirteen billion, four hundred twenty-eight million, nine hundred thirty-six thousand, three hundred twenty".