6349474560 has 576 divisors, whose sum is σ = 24658292736. Its totient is φ = 1371340800.

The previous prime is 6349474531. The next prime is 6349474583. The reversal of 6349474560 is 654749436.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17022534 + ... + 17022906.

It is an arithmetic number, because the mean of its divisors is an integer number (42809536).

Almost surely, 2^6349474560 is an apocalyptic number.

6349474560 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 6349474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329146368).

6349474560 is an abundant number, since it is smaller than the sum of its proper divisors (18308818176).

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

6349474560 is a wasteful number, since it uses less digits than its factorization.

6349474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The square root of 6349474560 is about 79683.5902805590. The cubic root of 6349474560 is about 1851.7368213214.

The spelling of 6349474560 in words is "six billion, three hundred forty-nine million, four hundred seventy-four thousand, five hundred sixty".