6349755906 has 96 divisors (see below), whose sum is σ = 15283107840. Its totient is φ = 1892927232.

The previous prime is 6349755887. The next prime is 6349755913. The reversal of 6349755906 is 6095579436.

6349755906 is a `hidden beast` number, since 6 + 3 + 49 + 7 + 5 + 590 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275390 + ... + 1280358.

It is an arithmetic number, because the mean of its divisors is an integer number (159199040).

Almost surely, 2^6349755906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6349755906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641553920).

6349755906 is an abundant number, since it is smaller than the sum of its proper divisors (8933351934).

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

6349755906 is a wasteful number, since it uses less digits than its factorization.

6349755906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 6349755906 is about 79685.3556558544. The cubic root of 6349755906 is about 1851.7641711464.

The spelling of 6349755906 in words is "six billion, three hundred forty-nine million, seven hundred fifty-five thousand, nine hundred six".