74563456320 has 168 divisors, whose sum is σ = 256806670536. Its totient is φ = 19857272832.

The previous prime is 74563456309. The next prime is 74563456337. The reversal of 74563456320 is 2365436547.

74563456320 is a `hidden beast` number, since 7 + 4 + 5 + 6 + 3 + 4 + 5 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13431882816 + 61131573504 = 115896^2 + 247248^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2209494 + ... + 2242986.

Almost surely, 2^74563456320 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 74563456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128403335268).

74563456320 is an abundant number, since it is smaller than the sum of its proper divisors (182243214216).

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

74563456320 is a wasteful number, since it uses less digits than its factorization.

74563456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34289 (or 34276 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 74563456320 in words is "seventy-four billion, five hundred sixty-three million, four hundred fifty-six thousand, three hundred twenty".