6410880000 has 880 divisors, whose sum is σ = 27625656960. Its totient is φ = 1437696000.

The previous prime is 6410879989. The next prime is 6410880023. The reversal of 6410880000 is 880146.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 120959974 + ... + 120960026.

It is an arithmetic number, because the mean of its divisors is an integer number (31392792).

Almost surely, 2^6410880000 is an apocalyptic number.

6410880000 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 6410880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812828480).

6410880000 is an abundant number, since it is smaller than the sum of its proper divisors (21214776960).

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

6410880000 is an equidigital number, since it uses as much as digits as its factorization.

6410880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6410880000 is about 80067.9711245389. The cubic root of 6410880000 is about 1857.6870312902.

The spelling of 6410880000 in words is "six billion, four hundred ten million, eight hundred eighty thousand".