6990782400 has 504 divisors, whose sum is σ = 28615501824. Its totient is φ = 1585612800.

The previous prime is 6990782389. The next prime is 6990782429. The reversal of 6990782400 is 42870996.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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, 22478245 + ... + 22478555.

Almost surely, 2^6990782400 is an apocalyptic number.

6990782400 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 6990782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307750912).

6990782400 is an abundant number, since it is smaller than the sum of its proper divisors (21624719424).

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

6990782400 is a wasteful number, since it uses less digits than its factorization.

6990782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6990782400 is about 83610.8988111000. The cubic root of 6990782400 is about 1912.0911646920.

The spelling of 6990782400 in words is "six billion, nine hundred ninety million, seven hundred eighty-two thousand, four hundred".