6607993406400 has 252 divisors, whose sum is σ = 24296245108200. Its totient is φ = 1701368309760.

The previous prime is 6607993406303. The next prime is 6607993406401. The reversal of 6607993406400 is 46043997066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6607993406401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7494270 + ... + 8329469.

Almost surely, 2^{6607993406400} is an apocalyptic number.

6607993406400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6607993406400 is an abundant number, since it is smaller than the sum of its proper divisors (17688251701800).

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

6607993406400 is a wasteful number, since it uses less digits than its factorization.

6607993406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823796 (or 15823778 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 6607993406400 in words is "six trillion, six hundred seven billion, nine hundred ninety-three million, four hundred six thousand, four hundred".