6344504880 has 320 divisors, whose sum is σ = 22948531200. Its totient is φ = 1420185600.

The previous prime is 6344504821. The next prime is 6344504891. The reversal of 6344504880 is 884054436.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 23585386 + ... + 23585654.

It is an arithmetic number, because the mean of its divisors is an integer number (71714160).

Almost surely, 2^6344504880 is an apocalyptic number.

6344504880 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 6344504880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474265600).

6344504880 is an abundant number, since it is smaller than the sum of its proper divisors (16604026320).

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

6344504880 is a wasteful number, since it uses less digits than its factorization.

6344504880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 6344504880 is about 79652.4003404794. The cubic root of 6344504880 is about 1851.2535823111.

The spelling of 6344504880 in words is "six billion, three hundred forty-four million, five hundred four thousand, eight hundred eighty".