512080496640 has 960 divisors, whose sum is σ = 1935403470000. Its totient is φ = 129313013760.

The previous prime is 512080496623. The next prime is 512080496743. The reversal of 512080496640 is 46694080215.

512080496640 is a `hidden beast` number, since 5 + 1 + 20 + 80 + 496 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 138241188864 + 373839307776 = 371808^2 + 611424^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1467279186 + ... + 1467279534.

Almost surely, 2^512080496640 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 512080496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967701735000).

512080496640 is an abundant number, since it is smaller than the sum of its proper divisors (1423322973360).

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

512080496640 is a wasteful number, since it uses less digits than its factorization.

512080496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 512080496640 in words is "five hundred twelve billion, eighty million, four hundred ninety-six thousand, six hundred forty".