6345135540 has 96 divisors (see below), whose sum is σ = 19752284160. Its totient is φ = 1691019648.

The previous prime is 6345135529. The next prime is 6345135569. The reversal of 6345135540 is 455315436.

6345135540 is a `hidden beast` number, since 6 + 34 + 51 + 35 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6345135495 and 6345135504.

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 31 ways as a sum of consecutive naturals, for example, 1448794 + ... + 1453166.

It is an arithmetic number, because the mean of its divisors is an integer number (205752960).

Almost surely, 2^6345135540 is an apocalyptic number.

6345135540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6345135540 is an abundant number, since it is smaller than the sum of its proper divisors (13407148620).

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

6345135540 is a wasteful number, since it uses less digits than its factorization.

6345135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 6345135540 is about 79656.3590681874. The cubic root of 6345135540 is about 1851.3149200579.

The spelling of 6345135540 in words is "six billion, three hundred forty-five million, one hundred thirty-five thousand, five hundred forty".