6968605800 has 384 divisors, whose sum is σ = 24198451200. Its totient is φ = 1647959040.

The previous prime is 6968605771. The next prime is 6968605807. The reversal of 6968605800 is 85068696.

It is a super-2 number, since 2×6968605800² = 97122933591587280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6968605800.

It is not an unprimeable number, because it can be changed into a prime (6968605807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26496469 + ... + 26496731.

It is an arithmetic number, because the mean of its divisors is an integer number (63016800).

Almost surely, 2^6968605800 is an apocalyptic number.

6968605800 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 6968605800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099225600).

6968605800 is an abundant number, since it is smaller than the sum of its proper divisors (17229845400).

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

6968605800 is a wasteful number, since it uses less digits than its factorization.

6968605800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 6968605800 is about 83478.1755909890. The cubic root of 6968605800 is about 1910.0671376125.

The spelling of 6968605800 in words is "six billion, nine hundred sixty-eight million, six hundred five thousand, eight hundred".