74394720000 has 720 divisors, whose sum is σ = 291368357280. Its totient is φ = 18653184000.

The previous prime is 74394719957. The next prime is 74394720031. The reversal of 74394720000 is 2749347.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 73439494 + ... + 73440506.

It is an arithmetic number, because the mean of its divisors is an integer number (404678274).

Almost surely, 2^74394720000 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 74394720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145684178640).

74394720000 is an abundant number, since it is smaller than the sum of its proper divisors (216973637280).

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

74394720000 is a wasteful number, since it uses less digits than its factorization.

74394720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 74394720000 in words is "seventy-four billion, three hundred ninety-four million, seven hundred twenty thousand".