537606800640 has 1296 divisors, whose sum is σ = 2370361318416. Its totient is φ = 111476736000.

The previous prime is 537606800639. The next prime is 537606800657. The reversal of 537606800640 is 46008606735.

537606800640 is a `hidden beast` number, since 5 + 37 + 606 + 8 + 0 + 0 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 350899847424 + 186706953216 = 592368^2 + 432096^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 447632040 + ... + 447633240.

Almost surely, 2^537606800640 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 537606800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185180659208).

537606800640 is an abundant number, since it is smaller than the sum of its proper divisors (1832754517776).

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

537606800640 is a wasteful number, since it uses less digits than its factorization.

537606800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 537606800640 in words is "five hundred thirty-seven billion, six hundred six million, eight hundred thousand, six hundred forty".