74652254208 has 680 divisors, whose sum is σ = 266441128800. Its totient is φ = 20808990720.

The previous prime is 74652254189. The next prime is 74652254239. The reversal of 74652254208 is 80245225647.

74652254208 is a `hidden beast` number, since 74 + 6 + 522 + 54 + 2 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1820786668 + ... + 1820786708.

Almost surely, 2^74652254208 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 74652254208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133220564400).

74652254208 is an abundant number, since it is smaller than the sum of its proper divisors (191788874592).

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

74652254208 is an frugal number, since it uses more digits than its factorization.

74652254208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 74652254208 in words is "seventy-four billion, six hundred fifty-two million, two hundred fifty-four thousand, two hundred eight".