6460134912 has 900 divisors, whose sum is σ = 25992944604. Its totient is φ = 1579253760.

The previous prime is 6460134907. The next prime is 6460134931. The reversal of 6460134912 is 2194310646.

6460134912 is a `hidden beast` number, since 6 + 4 + 601 + 3 + 49 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 380007928 + ... + 380007944.

Almost surely, 2^6460134912 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 6460134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12996472302).

6460134912 is an abundant number, since it is smaller than the sum of its proper divisors (19532809692).

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

6460134912 is a wasteful number, since it uses less digits than its factorization.

6460134912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6460134912 is about 80374.9644603343. The cubic root of 6460134912 is about 1862.4324470912.

The spelling of 6460134912 in words is "six billion, four hundred sixty million, one hundred thirty-four thousand, nine hundred twelve".