74559284352 has 960 divisors, whose sum is σ = 279216768600. Its totient is φ = 19619905536.

The previous prime is 74559284339. The next prime is 74559284357. The reversal of 74559284352 is 25348295547.

74559284352 is a `hidden beast` number, since 7 + 4 + 5 + 5 + 9 + 284 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61238431296 + 13320853056 = 247464^2 + 115416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74559284357) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 768652368 + ... + 768652464.

Almost surely, 2^74559284352 is an apocalyptic number.

74559284352 is a gapful number since it is divisible by the number (72) 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 74559284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139608384300).

74559284352 is an abundant number, since it is smaller than the sum of its proper divisors (204657484248).

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

74559284352 is a wasteful number, since it uses less digits than its factorization.

74559284352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 215 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 74559284352 in words is "seventy-four billion, five hundred fifty-nine million, two hundred eighty-four thousand, three hundred fifty-two".