6410971320 has 256 divisors, whose sum is σ = 22153098240. Its totient is φ = 1470210048.

The previous prime is 6410971289. The next prime is 6410971321. The reversal of 6410971320 is 231790146.

It is a super-2 number, since 2×6410971320² = 82201106531725084800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6410971321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2730387 + ... + 2732733.

It is an arithmetic number, because the mean of its divisors is an integer number (86535540).

Almost surely, 2^6410971320 is an apocalyptic number.

6410971320 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 6410971320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076549120).

6410971320 is an abundant number, since it is smaller than the sum of its proper divisors (15742126920).

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

6410971320 is a wasteful number, since it uses less digits than its factorization.

6410971320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 6410971320 is about 80068.5413879883. The cubic root of 6410971320 is about 1857.6958518772.

The spelling of 6410971320 in words is "six billion, four hundred ten million, nine hundred seventy-one thousand, three hundred twenty".