537413760 has 192 divisors, whose sum is σ = 1998785880. Its totient is φ = 132268032.

The previous prime is 537413749. The next prime is 537413777. The reversal of 537413760 is 67314735.

It can be written as a sum of positive squares in 4 ways, for example, as 457275456 + 80138304 = 21384^2 + 8952^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71292 + ... + 78468.

Almost surely, 2^537413760 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 537413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999392940).

537413760 is an abundant number, since it is smaller than the sum of its proper divisors (1461372120).

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

537413760 is a wasteful number, since it uses less digits than its factorization.

537413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7215 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 537413760 is about 23182.1862644575. The cubic root of 537413760 is about 813.0231789436.

The spelling of 537413760 in words is "five hundred thirty-seven million, four hundred thirteen thousand, seven hundred sixty".