6246564480 has 960 divisors, whose sum is σ = 26018910720. Its totient is φ = 1423319040.

The previous prime is 6246564437. The next prime is 6246564509. The reversal of 6246564480 is 844656426.

6246564480 is a `hidden beast` number, since 6 + 2 + 4 + 6 + 564 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 201502065 + ... + 201502095.

It is an arithmetic number, because the mean of its divisors is an integer number (27103032).

Almost surely, 2^6246564480 is an apocalyptic number.

6246564480 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 6246564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009455360).

6246564480 is an abundant number, since it is smaller than the sum of its proper divisors (19772346240).

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

6246564480 is a wasteful number, since it uses less digits than its factorization.

6246564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 6246564480 is about 79035.2103811966. The cubic root of 6246564480 is about 1841.6781790899.

The spelling of 6246564480 in words is "six billion, two hundred forty-six million, five hundred sixty-four thousand, four hundred eighty".