74688324480000 has 4950 divisors, whose sum is σ = 357824909272908. Its totient is φ = 15519651840000.

The previous prime is 74688324479981. The next prime is 74688324480079. The reversal of 74688324480000 is 8442388647.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

74688324480000 is a `hidden beast` number, since 7 + 4 + 68 + 83 + 24 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4950).

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 449 ways as a sum of consecutive naturals, for example, 6789847679995 + ... + 6789847680005.

Almost surely, 2^{74688324480000} is an apocalyptic number.

74688324480000 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 74688324480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178912454636454).

74688324480000 is an abundant number, since it is smaller than the sum of its proper divisors (283136584792908).

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

74688324480000 is an frugal number, since it uses more digits than its factorization.

74688324480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 74688324480000 in words is "seventy-four trillion, six hundred eighty-eight billion, three hundred twenty-four million, four hundred eighty thousand".