6345576720 has 640 divisors, whose sum is σ = 26535444480. Its totient is φ = 1362493440.

The previous prime is 6345576707. The next prime is 6345576751. The reversal of 6345576720 is 276755436.

6345576720 is a `hidden beast` number, since 6 + 3 + 4 + 5 + 576 + 72 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 24690832 + ... + 24691088.

It is an arithmetic number, because the mean of its divisors is an integer number (41461632).

Almost surely, 2^6345576720 is an apocalyptic number.

6345576720 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 6345576720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267722240).

6345576720 is an abundant number, since it is smaller than the sum of its proper divisors (20189867760).

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

6345576720 is a wasteful number, since it uses less digits than its factorization.

6345576720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 6345576720 is about 79659.1282904853. The cubic root of 6345576720 is about 1851.3578266374.

The spelling of 6345576720 in words is "six billion, three hundred forty-five million, five hundred seventy-six thousand, seven hundred twenty".