6478380000 has 720 divisors, whose sum is σ = 25217127936. Its totient is φ = 1632960000.

The previous prime is 6478379983. The next prime is 6478380037. The reversal of 6478380000 is 838746.

6478380000 is a `hidden beast` number, since 647 + 8 + 3 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 150659979 + ... + 150660021.

Almost surely, 2^6478380000 is an apocalyptic number.

6478380000 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 6478380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12608563968).

6478380000 is an abundant number, since it is smaller than the sum of its proper divisors (18738747936).

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

6478380000 is an equidigital number, since it uses as much as digits as its factorization.

6478380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6478380000 is about 80488.3842551209. The cubic root of 6478380000 is about 1864.1841289984.

The spelling of 6478380000 in words is "six billion, four hundred seventy-eight million, three hundred eighty thousand".