6461280000 has 540 divisors, whose sum is σ = 26646507888. Its totient is φ = 1474560000.

The previous prime is 6461279989. The next prime is 6461280013. The reversal of 6461280000 is 821646.

6461280000 is a `hidden beast` number, since 646 + 12 + 8 + 0 + 0 + 0 + 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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10079680 + ... + 10080320.

Almost surely, 2^6461280000 is an apocalyptic number.

6461280000 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 6461280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323253944).

6461280000 is an abundant number, since it is smaller than the sum of its proper divisors (20185227888).

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

6461280000 is an equidigital number, since it uses as much as digits as its factorization.

6461280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6461280000 is about 80382.0875568680. The cubic root of 6461280000 is about 1862.5424821023.

The spelling of 6461280000 in words is "six billion, four hundred sixty-one million, two hundred eighty thousand".