6484825227024 has 945 divisors, whose sum is σ = 21413131027983. Its totient is φ = 1900975951872.

The previous prime is 6484825227011. The next prime is 6484825227031. The reversal of 6484825227024 is 4207225284846.

It is a happy number.

The square root of 6484825227024 is 2546532.

It is a perfect power (a square), and thus also a powerful number.

6484825227024 is a `hidden beast` number, since 6 + 4 + 8 + 48 + 2 + 522 + 70 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 818901924624 + 5665923302400 = 904932^2 + 2380320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 88833222252 + ... + 88833222324.

Almost surely, 2^{6484825227024} is an apocalyptic number.

6484825227024 is the 2546532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6484825227024

6484825227024 is an abundant number, since it is smaller than the sum of its proper divisors (14928305800959).

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

6484825227024 is an equidigital number, since it uses as much as digits as its factorization.

6484825227024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 6484825227024 in words is "six trillion, four hundred eighty-four billion, eight hundred twenty-five million, two hundred twenty-seven thousand, twenty-four".