6994106400 has 72 divisors (see below), whose sum is σ = 22765824144. Its totient is φ = 1865094400.

The previous prime is 6994106381. The next prime is 6994106417. The reversal of 6994106400 is 46014996.

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 11 ways as a sum of consecutive naturals, for example, 1454706 + ... + 1459505.

It is an arithmetic number, because the mean of its divisors is an integer number (316192002).

Almost surely, 2^6994106400 is an apocalyptic number.

6994106400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6994106400 is an abundant number, since it is smaller than the sum of its proper divisors (15771717744).

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

6994106400 is a wasteful number, since it uses less digits than its factorization.

6994106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914234 (or 2914221 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 6994106400 is about 83630.7742401085. The cubic root of 6994106400 is about 1912.3941724517.

The spelling of 6994106400 in words is "six billion, nine hundred ninety-four million, one hundred six thousand, four hundred".