6990796800 has 576 divisors, whose sum is σ = 27724788000. Its totient is φ = 1716387840.

The previous prime is 6990796789. The next prime is 6990796807. The reversal of 6990796800 is 86970996.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6990796807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17971006 + ... + 17971394.

Almost surely, 2^6990796800 is an apocalyptic number.

6990796800 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 6990796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862394000).

6990796800 is an abundant number, since it is smaller than the sum of its proper divisors (20733991200).

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

6990796800 is a wasteful number, since it uses less digits than its factorization.

6990796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 6990796800 is about 83610.9849242311. The cubic root of 6990796800 is about 1912.0924775681.

The spelling of 6990796800 in words is "six billion, nine hundred ninety million, seven hundred ninety-six thousand, eight hundred".