6339780480 has 384 divisors, whose sum is σ = 23002509600. Its totient is φ = 1482342400.

The previous prime is 6339780443. The next prime is 6339780541. The reversal of 6339780480 is 840879336.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6736810 + ... + 6737750.

Almost surely, 2^6339780480 is an apocalyptic number.

6339780480 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 6339780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501254800).

6339780480 is an abundant number, since it is smaller than the sum of its proper divisors (16662729120).

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

6339780480 is a wasteful number, since it uses less digits than its factorization.

6339780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 6339780480 is about 79622.7384608191. The cubic root of 6339780480 is about 1850.7939596723.

The spelling of 6339780480 in words is "six billion, three hundred thirty-nine million, seven hundred eighty thousand, four hundred eighty".