74073102400 has 252 divisors, whose sum is σ = 201700903684. Its totient is φ = 26753126400.

The previous prime is 74073102391. The next prime is 74073102421. The reversal of 74073102400 is 420137047.

It can be written as a sum of positive squares in 6 ways, for example, as 36869184 + 74036233216 = 6072^2 + 272096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30393982 + ... + 30396418.

Almost surely, 2^74073102400 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 74073102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100850451842).

74073102400 is an abundant number, since it is smaller than the sum of its proper divisors (127627801284).

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

74073102400 is a wasteful number, since it uses less digits than its factorization.

74073102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

Adding to 74073102400 its reverse (420137047), we get a palindrome (74493239447).

The spelling of 74073102400 in words is "seventy-four billion, seventy-three million, one hundred two thousand, four hundred".