4537564957440 has 216 divisors, whose sum is σ = 15720661625760. Its totient is φ = 1208386486272.

The previous prime is 4537564957381. The next prime is 4537564957441. The reversal of 4537564957440 is 447594657354.

4537564957440 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 56 + 4 + 9 + 574 + 4 + 0 = 666.

It is a super-2 number, since 2×4537564957440² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4537564957441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8294296 + ... + 8824424.

It is an arithmetic number, because the mean of its divisors is an integer number (72780840860).

Almost surely, 2^{4537564957440} is an apocalyptic number.

4537564957440 is a gapful number since it is divisible by the number (40) 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 4537564957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860330812880).

4537564957440 is an abundant number, since it is smaller than the sum of its proper divisors (11183096668320).

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

4537564957440 is a wasteful number, since it uses less digits than its factorization.

4537564957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530899 (or 530882 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 4537564957440 in words is "four trillion, five hundred thirty-seven billion, five hundred sixty-four million, nine hundred fifty-seven thousand, four hundred forty".