537515304480 has 768 divisors, whose sum is σ = 2395495710720. Its totient is φ = 109311897600.

The previous prime is 537515304449. The next prime is 537515304509. The reversal of 537515304480 is 84403515735.

It is a happy number.

537515304480 is a `hidden beast` number, since 5 + 3 + 75 + 1 + 530 + 4 + 48 + 0 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 15616890 + ... + 15651270.

It is an arithmetic number, because the mean of its divisors is an integer number (3119135040).

Almost surely, 2^537515304480 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 537515304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197747855360).

537515304480 is an abundant number, since it is smaller than the sum of its proper divisors (1857980406240).

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

537515304480 is a wasteful number, since it uses less digits than its factorization.

537515304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34470 (or 34456 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 537515304480 in words is "five hundred thirty-seven billion, five hundred fifteen million, three hundred four thousand, four hundred eighty".