74628259200 has 1536 divisors, whose sum is σ = 327836160000. Its totient is φ = 16367616000.

The previous prime is 74628259157. The next prime is 74628259201. The reversal of 74628259200 is 295282647.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74628259201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 500860726 + ... + 500860874.

It is an arithmetic number, because the mean of its divisors is an integer number (213435000).

Almost surely, 2^74628259200 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 74628259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080000).

74628259200 is an abundant number, since it is smaller than the sum of its proper divisors (253207900800).

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

74628259200 is a wasteful number, since it uses less digits than its factorization.

74628259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 74628259200 in words is "seventy-four billion, six hundred twenty-eight million, two hundred fifty-nine thousand, two hundred".