6346135620 has 192 divisors, whose sum is σ = 22475335680. Its totient is φ = 1471536000.

The previous prime is 6346135591. The next prime is 6346135667. The reversal of 6346135620 is 265316436.

6346135620 is a `hidden beast` number, since 6 + 34 + 61 + 3 + 562 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 113395 + ... + 159845.

It is an arithmetic number, because the mean of its divisors is an integer number (117059040).

Almost surely, 2^6346135620 is an apocalyptic number.

6346135620 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 6346135620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237667840).

6346135620 is an abundant number, since it is smaller than the sum of its proper divisors (16129200060).

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

6346135620 is a wasteful number, since it uses less digits than its factorization.

6346135620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46503 (or 46495 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6346135620 is about 79662.6362857770. The cubic root of 6346135620 is about 1851.4121791183.

The spelling of 6346135620 in words is "six billion, three hundred forty-six million, one hundred thirty-five thousand, six hundred twenty".