6348135780 has 192 divisors, whose sum is σ = 23122229760. Its totient is φ = 1415577600.

The previous prime is 6348135779. The next prime is 6348135811. The reversal of 6348135780 is 875318436.

6348135780 is a `hidden beast` number, since 63 + 4 + 8 + 13 + 578 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 134500 + ... + 175460.

It is an arithmetic number, because the mean of its divisors is an integer number (120428280).

Almost surely, 2^6348135780 is an apocalyptic number.

6348135780 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 6348135780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561114880).

6348135780 is an abundant number, since it is smaller than the sum of its proper divisors (16774093980).

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

6348135780 is a wasteful number, since it uses less digits than its factorization.

6348135780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41027 (or 41019 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6348135780 is about 79675.1892373027. The cubic root of 6348135780 is about 1851.6066665895.

The spelling of 6348135780 in words is "six billion, three hundred forty-eight million, one hundred thirty-five thousand, seven hundred eighty".