74742091200 has 2016 divisors, whose sum is σ = 351586068480. Its totient is φ = 15328051200.

The previous prime is 74742091189. The next prime is 74742091201. The reversal of 74742091200 is 219024747.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74742091201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1115553567 + ... + 1115553633.

Almost surely, 2^74742091200 is an apocalyptic number.

74742091200 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 74742091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175793034240).

74742091200 is an abundant number, since it is smaller than the sum of its proper divisors (276843977280).

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

74742091200 is a wasteful number, since it uses less digits than its factorization.

74742091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 74742091200 in words is "seventy-four billion, seven hundred forty-two million, ninety-one thousand, two hundred".