6410426880 has 480 divisors, whose sum is σ = 24262286400. Its totient is φ = 1431306240.

The previous prime is 6410426839. The next prime is 6410426909. The reversal of 6410426880 is 886240146.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14276896 + ... + 14277344.

It is an arithmetic number, because the mean of its divisors is an integer number (50546430).

Almost surely, 2^6410426880 is an apocalyptic number.

6410426880 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 6410426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131143200).

6410426880 is an abundant number, since it is smaller than the sum of its proper divisors (17851859520).

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

6410426880 is a wasteful number, since it uses less digits than its factorization.

6410426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 6410426880 is about 80065.1414786735. The cubic root of 6410426880 is about 1857.6432632490.

The spelling of 6410426880 in words is "six billion, four hundred ten million, four hundred twenty-six thousand, eight hundred eighty".