6349739904 has 512 divisors, whose sum is σ = 21432729600. Its totient is φ = 1839366144.

The previous prime is 6349739899. The next prime is 6349739923. The reversal of 6349739904 is 4099379436.

6349739904 is a `hidden beast` number, since 63 + 497 + 3 + 9 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 49997889 + ... + 49998015.

It is an arithmetic number, because the mean of its divisors is an integer number (41860800).

Almost surely, 2^6349739904 is an apocalyptic number.

6349739904 is a gapful number since it is divisible by the number (64) 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 6349739904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716364800).

6349739904 is an abundant number, since it is smaller than the sum of its proper divisors (15082989696).

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

6349739904 is a wasteful number, since it uses less digits than its factorization.

6349739904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 6349739904 is about 79685.2552483833. The cubic root of 6349739904 is about 1851.7626156034.

The spelling of 6349739904 in words is "six billion, three hundred forty-nine million, seven hundred thirty-nine thousand, nine hundred four".