74973600000 has 1080 divisors, whose sum is σ = 304304976360. Its totient is φ = 18247680000.

The previous prime is 74973599977. The next prime is 74973600001. The reversal of 74973600000 is 637947.

74973600000 is a `hidden beast` number, since 7 + 49 + 7 + 3 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 67408775424 + 7564824576 = 259632^2 + 86976^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 (74973600001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 842399956 + ... + 842400044.

It is an arithmetic number, because the mean of its divisors is an integer number (281763867).

Almost surely, 2^74973600000 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 74973600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152152488180).

74973600000 is an abundant number, since it is smaller than the sum of its proper divisors (229331376360).

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

74973600000 is an frugal number, since it uses more digits than its factorization.

74973600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 74973600000 in words is "seventy-four billion, nine hundred seventy-three million, six hundred thousand".