537483366800352 has 720 divisors, whose sum is σ = 1929234679827840. Its totient is φ = 146176569907200.

The previous prime is 537483366800311. The next prime is 537483366800353. The reversal of 537483366800352 is 253008663384735.

537483366800352 is a `hidden beast` number, since 5 + 3 + 74 + 83 + 3 + 66 + 80 + 0 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 537483366800352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537483366800353) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 239053174 + ... + 241291082.

It is an arithmetic number, because the mean of its divisors is an integer number (2679492610872).

Almost surely, 2^{537483366800352} 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 537483366800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964617339913920).

537483366800352 is an abundant number, since it is smaller than the sum of its proper divisors (1391751313027488).

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

537483366800352 is a wasteful number, since it uses less digits than its factorization.

537483366800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238037 (or 2238013 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 537483366800352 in words is "five hundred thirty-seven trillion, four hundred eighty-three billion, three hundred sixty-six million, eight hundred thousand, three hundred fifty-two".