6435808052400 has 720 divisors, whose sum is σ = 25221148243200. Its totient is φ = 1569810170880.

The previous prime is 6435808052299. The next prime is 6435808052441. The reversal of 6435808052400 is 42508085346.

6435808052400 is a `hidden beast` number, since 6 + 43 + 5 + 8 + 0 + 80 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6435808052400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53497117 + ... + 53617283.

It is an arithmetic number, because the mean of its divisors is an integer number (35029372560).

Almost surely, 2^{6435808052400} is an apocalyptic number.

6435808052400 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 6435808052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610574121600).

6435808052400 is an abundant number, since it is smaller than the sum of its proper divisors (18785340190800).

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

6435808052400 is a wasteful number, since it uses less digits than its factorization.

6435808052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120248 (or 120225 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 6435808052400 in words is "six trillion, four hundred thirty-five billion, eight hundred eight million, fifty-two thousand, four hundred".