74838067200 has 972 divisors, whose sum is σ = 299888139915. Its totient is φ = 17827430400.

The previous prime is 74838067193. The next prime is 74838067211. The reversal of 74838067200 is 276083847.

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.

74838067200 is a `hidden beast` number, since 7 + 4 + 8 + 380 + 67 + 200 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4685128704 + 70152938496 = 68448^2 + 264864^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=193440.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2414131185 + ... + 2414131215.

Almost surely, 2^74838067200 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 74838067200

74838067200 is an abundant number, since it is smaller than the sum of its proper divisors (225050072715).

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

74838067200 is a wasteful number, since it uses less digits than its factorization.

74838067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 74838067200 in words is "seventy-four billion, eight hundred thirty-eight million, sixty-seven thousand, two hundred".