6459480000 has 280 divisors, whose sum is σ = 23733465360. Its totient is φ = 1722240000.

The previous prime is 6459479959. The next prime is 6459480023. The reversal of 6459480000 is 849546.

6459480000 is a `hidden beast` number, since 64 + 594 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 1077010 + ... + 1082990.

Almost surely, 2^6459480000 is an apocalyptic number.

6459480000 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 6459480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11866732680).

6459480000 is an abundant number, since it is smaller than the sum of its proper divisors (17273985360).

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

6459480000 is an equidigital number, since it uses as much as digits as its factorization.

6459480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6459480000 is about 80370.8902526282. The cubic root of 6459480000 is about 1862.3695087473.

The spelling of 6459480000 in words is "six billion, four hundred fifty-nine million, four hundred eighty thousand".