6467399280 has 240 divisors, whose sum is σ = 22284288000. Its totient is φ = 1680164352.

The previous prime is 6467399269. The next prime is 6467399287. The reversal of 6467399280 is 829937646.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6467399287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12960471 + ... + 12960969.

It is an arithmetic number, because the mean of its divisors is an integer number (92851200).

Almost surely, 2^6467399280 is an apocalyptic number.

6467399280 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 6467399280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142144000).

6467399280 is an abundant number, since it is smaller than the sum of its proper divisors (15816888720).

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

6467399280 is a wasteful number, since it uses less digits than its factorization.

6467399280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6467399280 is about 80420.1422530450. The cubic root of 6467399280 is about 1863.1302821875.

The spelling of 6467399280 in words is "six billion, four hundred sixty-seven million, three hundred ninety-nine thousand, two hundred eighty".