6447397824 has 280 divisors, whose sum is σ = 22030131200. Its totient is φ = 1826302464.

The previous prime is 6447397771. The next prime is 6447397829. The reversal of 6447397824 is 4287937446.

6447397824 is a `hidden beast` number, since 6 + 4 + 473 + 97 + 82 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6447397829) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4607877 + ... + 4609275.

It is an arithmetic number, because the mean of its divisors is an integer number (78679040).

Almost surely, 2^6447397824 is an apocalyptic number.

6447397824 is a gapful number since it is divisible by the number (64) 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 6447397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015065600).

6447397824 is an abundant number, since it is smaller than the sum of its proper divisors (15582733376).

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

6447397824 is a wasteful number, since it uses less digits than its factorization.

6447397824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1538 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 6447397824 is about 80295.6899465968. The cubic root of 6447397824 is about 1861.2076236769.

The spelling of 6447397824 in words is "six billion, four hundred forty-seven million, three hundred ninety-seven thousand, eight hundred twenty-four".