537002129664 has 2592 divisors, whose sum is σ = 2320615664640. Its totient is φ = 117050572800.

The previous prime is 537002129647. The next prime is 537002129683. The reversal of 537002129664 is 466921200735.

537002129664 is a `hidden beast` number, since 5 + 370 + 0 + 212 + 9 + 6 + 64 = 666.

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 287 ways as a sum of consecutive naturals, for example, 14513571054 + ... + 14513571090.

Almost surely, 2^537002129664 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 537002129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160307832320).

537002129664 is an abundant number, since it is smaller than the sum of its proper divisors (1783613534976).

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

537002129664 is a wasteful number, since it uses less digits than its factorization.

537002129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 537002 and 129664, that added together give a palindrome (666666).

The spelling of 537002129664 in words is "five hundred thirty-seven billion, two million, one hundred twenty-nine thousand, six hundred sixty-four".