6607430400 has 432 divisors, whose sum is σ = 22884035328. Its totient is φ = 1677312000.

The previous prime is 6607430377. The next prime is 6607430411. The reversal of 6607430400 is 40347066.

It is a super-3 number, since 3×6607430400³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50438335 + ... + 50438465.

It is an arithmetic number, because the mean of its divisors is an integer number (52972304).

Almost surely, 2^6607430400 is an apocalyptic number.

6607430400 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 6607430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442017664).

6607430400 is an abundant number, since it is smaller than the sum of its proper divisors (16276604928).

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

6607430400 is a wasteful number, since it uses less digits than its factorization.

6607430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 6607430400 is about 81286.1021331445. The cubic root of 6607430400 is about 1876.4811194884.

Adding to 6607430400 its reverse (40347066), we get a palindrome (6647777466).

The spelling of 6607430400 in words is "six billion, six hundred seven million, four hundred thirty thousand, four hundred".