6348480000 has 400 divisors, whose sum is σ = 22434881040. Its totient is φ = 1589248000.

The previous prime is 6348479993. The next prime is 6348480029. The reversal of 6348480000 is 848436.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16319806 + ... + 16320194.

Almost surely, 2^6348480000 is an apocalyptic number.

6348480000 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 6348480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217440520).

6348480000 is an abundant number, since it is smaller than the sum of its proper divisors (16086401040).

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

6348480000 is an equidigital number, since it uses as much as digits as its factorization.

6348480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 6348480000 is about 79677.3493535020. The cubic root of 6348480000 is about 1851.6401330301.

It can be divided in two parts, 6348 and 480000, that multiplied together give a square (3047040000 = 55200²).

The spelling of 6348480000 in words is "six billion, three hundred forty-eight million, four hundred eighty thousand".