6344274960 has 120 divisors (see below), whose sum is σ = 21340687680. Its totient is φ = 1689067776.

The previous prime is 6344274947. The next prime is 6344275013. The reversal of 6344274960 is 694724436.

It is a happy number.

6344274960 is a `hidden beast` number, since 634 + 4 + 2 + 7 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459031 + ... + 472649.

It is an arithmetic number, because the mean of its divisors is an integer number (177839064).

Almost surely, 2^6344274960 is an apocalyptic number.

6344274960 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 6344274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10670343840).

6344274960 is an abundant number, since it is smaller than the sum of its proper divisors (14996412720).

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

6344274960 is a wasteful number, since it uses less digits than its factorization.

6344274960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14285 (or 14276 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6344274960 is about 79650.9570563970. The cubic root of 6344274960 is about 1851.2312193701.

The spelling of 6344274960 in words is "six billion, three hundred forty-four million, two hundred seventy-four thousand, nine hundred sixty".