6425702400 has 312 divisors, whose sum is σ = 22893517360. Its totient is φ = 1580728320.

The previous prime is 6425702389. The next prime is 6425702447. The reversal of 6425702400 is 42075246.

It is a tau number, because it is divible by the number of its divisors (312).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3992796 + ... + 3994404.

Almost surely, 2^6425702400 is an apocalyptic number.

6425702400 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 6425702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446758680).

6425702400 is an abundant number, since it is smaller than the sum of its proper divisors (16467814960).

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

6425702400 is a wasteful number, since it uses less digits than its factorization.

6425702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 6425702400 is about 80160.4790404848. The cubic root of 6425702400 is about 1859.1176298056.

Adding to 6425702400 its reverse (42075246), we get a palindrome (6467777646).

The spelling of 6425702400 in words is "six billion, four hundred twenty-five million, seven hundred two thousand, four hundred".