74200893201024 has 128 divisors (see below), whose sum is σ = 197946846377280. Its totient is φ = 24627103580160.

The previous prime is 74200893201011. The next prime is 74200893201053. The reversal of 74200893201024 is 42010239800247.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82221432 + ... + 83118984.

Almost surely, 2^{74200893201024} 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 74200893201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98973423188640).

74200893201024 is an abundant number, since it is smaller than the sum of its proper divisors (123745953176256).

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

74200893201024 is a wasteful number, since it uses less digits than its factorization.

74200893201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898498 (or 898486 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 74200893201024 in words is "seventy-four trillion, two hundred billion, eight hundred ninety-three million, two hundred one thousand, twenty-four".