74930107200 has 672 divisors, whose sum is σ = 280017077760. Its totient is φ = 17409638400.

The previous prime is 74930107199. The next prime is 74930107201. The reversal of 74930107200 is 270103947.

It is an interprime number because it is at equal distance from previous prime (74930107199) and next prime (74930107201).

It is a super-2 number, since 2×74930107200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74930107201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85050760 + ... + 85051640.

It is an arithmetic number, because the mean of its divisors is an integer number (416692080).

Almost surely, 2^74930107200 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 74930107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140008538880).

74930107200 is an abundant number, since it is smaller than the sum of its proper divisors (205086970560).

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

74930107200 is a wasteful number, since it uses less digits than its factorization.

74930107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 74930107200 in words is "seventy-four billion, nine hundred thirty million, one hundred seven thousand, two hundred".