74451878280 has 192 divisors, whose sum is σ = 260712270000. Its totient is φ = 18317426688.

The previous prime is 74451878273. The next prime is 74451878297. The reversal of 74451878280 is 8287815447.

74451878280 is a `hidden beast` number, since 7 + 44 + 518 + 7 + 8 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2523856644 + 71928021636 = 50238^2 + 268194^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18385696 + ... + 18389744.

Almost surely, 2^74451878280 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 74451878280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130356135000).

74451878280 is an abundant number, since it is smaller than the sum of its proper divisors (186260391720).

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

74451878280 is a wasteful number, since it uses less digits than its factorization.

74451878280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 74451878280 in words is "seventy-four billion, four hundred fifty-one million, eight hundred seventy-eight thousand, two hundred eighty".