6985358400 has 168 divisors, whose sum is σ = 23073969600. Its totient is φ = 1850071040.

The previous prime is 6985358377. The next prime is 6985358423. The reversal of 6985358400 is 48535896.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6985358377) and next prime (6985358423).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6985358400.

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 23 ways as a sum of consecutive naturals, for example, 710317 + ... + 720083.

Almost surely, 2^6985358400 is an apocalyptic number.

6985358400 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 6985358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11536984800).

6985358400 is an abundant number, since it is smaller than the sum of its proper divisors (16088611200).

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

6985358400 is a wasteful number, since it uses less digits than its factorization.

6985358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 6985358400 is about 83578.4565543059. The cubic root of 6985358400 is about 1911.5965197295.

The spelling of 6985358400 in words is "six billion, nine hundred eighty-five million, three hundred fifty-eight thousand, four hundred".