74268217100 has 216 divisors, whose sum is σ = 204890011200. Its totient is φ = 23106384000.

The previous prime is 74268217073. The next prime is 74268217141. The reversal of 74268217100 is 171286247.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43712051 + ... + 43713749.

Almost surely, 2^74268217100 is an apocalyptic number.

74268217100 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 74268217100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102445005600).

74268217100 is an abundant number, since it is smaller than the sum of its proper divisors (130621794100).

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

74268217100 is a wasteful number, since it uses less digits than its factorization.

74268217100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 74268217100 in words is "seventy-four billion, two hundred sixty-eight million, two hundred seventeen thousand, one hundred".