603540564480 has 400 divisors, whose sum is σ = 2470510627200. Its totient is φ = 137951797248.

The previous prime is 603540564457. The next prime is 603540564481. The reversal of 603540564480 is 84465045306.

603540564480 is a `hidden beast` number, since 6 + 0 + 3 + 5 + 4 + 0 + 564 + 4 + 80 = 666.

It is a super-2 number, since 2×603540564480² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (603540564481) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1243621 + ... + 1659419.

It is an arithmetic number, because the mean of its divisors is an integer number (6176276568).

Almost surely, 2^603540564480 is an apocalyptic number.

603540564480 is a gapful number since it is divisible by the number (60) 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 603540564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235255313600).

603540564480 is an abundant number, since it is smaller than the sum of its proper divisors (1866970062720).

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

603540564480 is an equidigital number, since it uses as much as digits as its factorization.

603540564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415841 (or 415816 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 603540564480 in words is "six hundred three billion, five hundred forty million, five hundred sixty-four thousand, four hundred eighty".