6400289280 has 640 divisors, whose sum is σ = 26021191680. Its totient is φ = 1303511040.

The previous prime is 6400289257. The next prime is 6400289303. The reversal of 6400289280 is 829820046.

It is an interprime number because it is at equal distance from previous prime (6400289257) and next prime (6400289303).

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46717372 + ... + 46717508.

It is an arithmetic number, because the mean of its divisors is an integer number (40658112).

Almost surely, 2^6400289280 is an apocalyptic number.

6400289280 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 6400289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13010595840).

6400289280 is an abundant number, since it is smaller than the sum of its proper divisors (19620902400).

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

6400289280 is a wasteful number, since it uses less digits than its factorization.

6400289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 6400289280 is about 80001.8079795701. The cubic root of 6400289280 is about 1856.6635063324.

The spelling of 6400289280 in words is "six billion, four hundred million, two hundred eighty-nine thousand, two hundred eighty".