74630872817280 has 512 divisors, whose sum is σ = 284738561856000. Its totient is φ = 18364948217856.

The previous prime is 74630872817227. The next prime is 74630872817287. The reversal of 74630872817280 is 8271827803647.

It is a happy number.

74630872817280 is a `hidden beast` number, since 7 + 46 + 30 + 8 + 7 + 281 + 7 + 280 = 666.

It is not an unprimeable number, because it can be changed into a prime (74630872817287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744182181 + ... + 744282459.

It is an arithmetic number, because the mean of its divisors is an integer number (556130003625).

Almost surely, 2^{74630872817280} 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 74630872817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142369280928000).

74630872817280 is an abundant number, since it is smaller than the sum of its proper divisors (210107689038720).

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

74630872817280 is a wasteful number, since it uses less digits than its factorization.

74630872817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103633 (or 103615 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 74630872817280 in words is "seventy-four trillion, six hundred thirty billion, eight hundred seventy-two million, eight hundred seventeen thousand, two hundred eighty".