6492584448 has 480 divisors, whose sum is σ = 22769590272. Its totient is φ = 1741824000.

The previous prime is 6492584419. The next prime is 6492584459. The reversal of 6492584448 is 8444852946.

It is a happy number.

6492584448 is a `hidden beast` number, since 64 + 92 + 58 + 4 + 448 = 666.

It is a super-2 number, since 2×6492584448² = 84307305628822929408, which contains 22 as substring.

Its product of digits (8847360) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 6492584394 and 6492584403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42997173 + ... + 42997323.

Almost surely, 2^6492584448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6492584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11384795136).

6492584448 is an abundant number, since it is smaller than the sum of its proper divisors (16277005824).

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

6492584448 is a wasteful number, since it uses less digits than its factorization.

6492584448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 6492584448 is about 80576.5750575190. The cubic root of 6492584448 is about 1865.5455998699.

The spelling of 6492584448 in words is "six billion, four hundred ninety-two million, five hundred eighty-four thousand, four hundred forty-eight".