74884320000 has 2160 divisors, whose sum is σ = 358607208960. Its totient is φ = 14598144000.

The previous prime is 74884319933. The next prime is 74884320001. The reversal of 74884320000 is 2348847.

It is a super-2 number, since 2×74884320000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (74884320001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3255839989 + ... + 3255840011.

It is an arithmetic number, because the mean of its divisors is an integer number (166021856).

Almost surely, 2^74884320000 is an apocalyptic number.

74884320000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74884320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179303604480).

74884320000 is an abundant number, since it is smaller than the sum of its proper divisors (283722888960).

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

74884320000 is a wasteful number, since it uses less digits than its factorization.

74884320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 74884320000 its reverse (2348847), we get a palindrome (74886668847).

The spelling of 74884320000 in words is "seventy-four billion, eight hundred eighty-four million, three hundred twenty thousand".