6348948480 has 528 divisors, whose sum is σ = 26108584320. Its totient is φ = 1451188224.

The previous prime is 6348948467. The next prime is 6348948527. The reversal of 6348948480 is 848498436.

6348948480 is a `hidden beast` number, since 6 + 3 + 4 + 89 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 906992637 + ... + 906992643.

Almost surely, 2^6348948480 is an apocalyptic number.

6348948480 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 6348948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054292160).

6348948480 is an abundant number, since it is smaller than the sum of its proper divisors (19759635840).

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

6348948480 is an frugal number, since it uses more digits than its factorization.

6348948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 6348948480 is about 79680.2891561018. The cubic root of 6348948480 is about 1851.6856785797.

The spelling of 6348948480 in words is "six billion, three hundred forty-eight million, nine hundred forty-eight thousand, four hundred eighty".