74560561152000 has 3264 divisors, whose sum is σ = 327462048635904. Its totient is φ = 14627635200000.

The previous prime is 74560561151953. The next prime is 74560561152001. The reversal of 74560561152000 is 25116506547.

It is a super-2 number, since 2×74560561152000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74560561152001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1818550271980 + ... + 1818550272020.

Almost surely, 2^{74560561152000} is an apocalyptic number.

74560561152000 is a gapful number since it is divisible by the number (70) 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 74560561152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163731024317952).

74560561152000 is an abundant number, since it is smaller than the sum of its proper divisors (252901487483904).

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

74560561152000 is an equidigital number, since it uses as much as digits as its factorization.

74560561152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

Adding to 74560561152000 its reverse (25116506547), we get a palindrome (74585677658547).

The spelling of 74560561152000 in words is "seventy-four trillion, five hundred sixty billion, five hundred sixty-one million, one hundred fifty-two thousand".