6144828480 has 784 divisors, whose sum is σ = 25905464064. Its totient is φ = 1358622720.

The previous prime is 6144828451. The next prime is 6144828493. The reversal of 6144828480 is 848284416.

6144828480 is a `hidden beast` number, since 6 + 14 + 482 + 84 + 80 = 666.

It is a super-2 number, since 2×6144828480² = 75517834097238220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 86546845 + ... + 86546915.

Almost surely, 2^6144828480 is an apocalyptic number.

6144828480 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 6144828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12952732032).

6144828480 is an abundant number, since it is smaller than the sum of its proper divisors (19760635584).

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

6144828480 is an equidigital number, since it uses as much as digits as its factorization.

6144828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 6144828480 is about 78388.9563650391. The cubic root of 6144828480 is about 1831.6251084179.

The spelling of 6144828480 in words is "six billion, one hundred forty-four million, eight hundred twenty-eight thousand, four hundred eighty".