6990753600 has 840 divisors, whose sum is σ = 28811280960. Its totient is φ = 1652244480.

The previous prime is 6990753599. The next prime is 6990753613. The reversal of 6990753600 is 63570996.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41860717 + ... + 41860883.

It is an arithmetic number, because the mean of its divisors is an integer number (34299144).

Almost surely, 2^6990753600 is an apocalyptic number.

6990753600 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 6990753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405640480).

6990753600 is an abundant number, since it is smaller than the sum of its proper divisors (21820527360).

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

6990753600 is a wasteful number, since it uses less digits than its factorization.

6990753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 6990753600 is about 83610.7265845717. The cubic root of 6990753600 is about 1912.0885389343.

The spelling of 6990753600 in words is "six billion, nine hundred ninety million, seven hundred fifty-three thousand, six hundred".