6424704000 has 1056 divisors, whose sum is σ = 28050122880. Its totient is φ = 1437696000.

The previous prime is 6424703983. The next prime is 6424704007. The reversal of 6424704000 is 4074246.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6424704007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494207994 + ... + 494208006.

Almost surely, 2^6424704000 is an apocalyptic number.

6424704000 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 6424704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025061440).

6424704000 is an abundant number, since it is smaller than the sum of its proper divisors (21625418880).

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

6424704000 is a wasteful number, since it uses less digits than its factorization.

6424704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 6424704000 is about 80154.2512908704. The cubic root of 6424704000 is about 1859.0213373918.

Adding to 6424704000 its reverse (4074246), we get a palindrome (6428778246).

The spelling of 6424704000 in words is "six billion, four hundred twenty-four million, seven hundred four thousand".