516489329664 has 1408 divisors, whose sum is σ = 2007252172800. Its totient is φ = 127322357760.

The previous prime is 516489329617. The next prime is 516489329677. The reversal of 516489329664 is 466923984615.

516489329664 is a `hidden beast` number, since 5 + 1 + 6 + 489 + 3 + 2 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-3 number, since 3×516489329664³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6222762967 + ... + 6222763049.

Almost surely, 2^516489329664 is an apocalyptic number.

516489329664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516489329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003626086400).

516489329664 is an abundant number, since it is smaller than the sum of its proper divisors (1490762843136).

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

516489329664 is a wasteful number, since it uses less digits than its factorization.

516489329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 516489329664 in words is "five hundred sixteen billion, four hundred eighty-nine million, three hundred twenty-nine thousand, six hundred sixty-four".