74252406200 has 192 divisors, whose sum is σ = 216110721600. Its totient is φ = 23134003200.

The previous prime is 74252406187. The next prime is 74252406209. The reversal of 74252406200 is 260425247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74252406209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636410 + ... + 743990.

It is an arithmetic number, because the mean of its divisors is an integer number (1125576675).

Almost surely, 2^74252406200 is an apocalyptic number.

74252406200 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 74252406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055360800).

74252406200 is an abundant number, since it is smaller than the sum of its proper divisors (141858315400).

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

74252406200 is a wasteful number, since it uses less digits than its factorization.

74252406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107650 (or 107641 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 74252406200 in words is "seventy-four billion, two hundred fifty-two million, four hundred six thousand, two hundred".