6496178590080 has 1280 divisors, whose sum is σ = 25134907564800. Its totient is φ = 1593755025408.

The previous prime is 6496178590079. The next prime is 6496178590093. The reversal of 6496178590080 is 800958716946.

6496178590080 is a `hidden beast` number, since 6 + 4 + 9 + 617 + 8 + 5 + 9 + 0 + 0 + 8 + 0 = 666.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 5585707579 + ... + 5585708741.

It is an arithmetic number, because the mean of its divisors is an integer number (19636646535).

Almost surely, 2^{6496178590080} is an apocalyptic number.

6496178590080 is a gapful number since it is divisible by the number (60) 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 6496178590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12567453782400).

6496178590080 is an abundant number, since it is smaller than the sum of its proper divisors (18638728974720).

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

6496178590080 is a wasteful number, since it uses less digits than its factorization.

6496178590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 6496178590080 in words is "six trillion, four hundred ninety-six billion, one hundred seventy-eight million, five hundred ninety thousand, eighty".