74056320000000 has 2688 divisors, whose sum is σ = 307487644079616. Its totient is φ = 17031168000000.

The previous prime is 74056319999993. The next prime is 74056320000001. The reversal of 74056320000000 is 2365047.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (74056320000001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1722239999979 + ... + 1722240000021.

It is an arithmetic number, because the mean of its divisors is an integer number (114392724732).

Almost surely, 2^{74056320000000} 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 74056320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153743822039808).

74056320000000 is an abundant number, since it is smaller than the sum of its proper divisors (233431324079616).

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

74056320000000 is an frugal number, since it uses more digits than its factorization.

74056320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 74056320000000 its reverse (2365047), we get a palindrome (74056322365047).

The spelling of 74056320000000 in words is "seventy-four trillion, fifty-six billion, three hundred twenty million", and thus it is an aban number.