6968505600 has 648 divisors, whose sum is σ = 29760803520. Its totient is φ = 1590865920.

The previous prime is 6968505587. The next prime is 6968505637. The reversal of 6968505600 is 65058696.

6968505600 is a `hidden beast` number, since 6 + 9 + 6 + 85 + 0 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8466789 + ... + 8467611.

Almost surely, 2^6968505600 is an apocalyptic number.

6968505600 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 6968505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880401760).

6968505600 is an abundant number, since it is smaller than the sum of its proper divisors (22792297920).

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

6968505600 is a wasteful number, since it uses less digits than its factorization.

6968505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6968505600 is about 83477.5754319686. The cubic root of 6968505600 is about 1910.0579827614.

The spelling of 6968505600 in words is "six billion, nine hundred sixty-eight million, five hundred five thousand, six hundred".