6607394400 has 144 divisors (see below), whose sum is σ = 22639176000. Its totient is φ = 1669224960.

The previous prime is 6607394389. The next prime is 6607394477. The reversal of 6607394400 is 44937066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26850 + ... + 118049.

It is an arithmetic number, because the mean of its divisors is an integer number (157216500).

Almost surely, 2^6607394400 is an apocalyptic number.

6607394400 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 6607394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11319588000).

6607394400 is an abundant number, since it is smaller than the sum of its proper divisors (16031781600).

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

6607394400 is a wasteful number, since it uses less digits than its factorization.

6607394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144941 (or 144928 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 6607394400 is about 81285.8806927747. The cubic root of 6607394400 is about 1876.4777115351.

The spelling of 6607394400 in words is "six billion, six hundred seven million, three hundred ninety-four thousand, four hundred".