6478560000 has 540 divisors, whose sum is σ = 25525860360. Its totient is φ = 1566720000.

The previous prime is 6478559953. The next prime is 6478560047. The reversal of 6478560000 is 658746.

It is a happy number.

6478560000 is a `hidden beast` number, since 6 + 47 + 8 + 5 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6478559953) and next prime (6478560047).

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

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 59 ways as a sum of consecutive naturals, for example, 15839796 + ... + 15840204.

Almost surely, 2^6478560000 is an apocalyptic number.

6478560000 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 6478560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12762930180).

6478560000 is an abundant number, since it is smaller than the sum of its proper divisors (19047300360).

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

6478560000 is a wasteful number, since it uses less digits than its factorization.

6478560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6478560000 is about 80489.5024211232. The cubic root of 6478560000 is about 1864.2013941190.

The spelling of 6478560000 in words is "six billion, four hundred seventy-eight million, five hundred sixty thousand".