537736417592160 has 768 divisors, whose sum is σ = 1830771188563968. Its totient is φ = 132406443417600.

The previous prime is 537736417592041. The next prime is 537736417592167. The reversal of 537736417592160 is 61295714637735.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 537736417592091 and 537736417592100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537736417592167) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8225884275 + ... + 8225949645.

It is an arithmetic number, because the mean of its divisors is an integer number (2383816651776).

Almost surely, 2^{537736417592160} 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 537736417592160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915385594281984).

537736417592160 is an abundant number, since it is smaller than the sum of its proper divisors (1293034770971808).

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

537736417592160 is a wasteful number, since it uses less digits than its factorization.

537736417592160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65747 (or 65739 counting only the distinct ones).

The product of its (nonzero) digits is 200037600, while the sum is 66.

The spelling of 537736417592160 in words is "five hundred thirty-seven trillion, seven hundred thirty-six billion, four hundred seventeen million, five hundred ninety-two thousand, one hundred sixty".