6930246400 has 540 divisors, whose sum is σ = 22362803064. Its totient is φ = 2107392000.

The previous prime is 6930246391. The next prime is 6930246443. The reversal of 6930246400 is 46420396.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 169030380 + ... + 169030420.

Almost surely, 2^6930246400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6930246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11181401532).

6930246400 is an abundant number, since it is smaller than the sum of its proper divisors (15432556664).

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

6930246400 is an equidigital number, since it uses as much as digits as its factorization.

6930246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 6930246400 is about 83248.1014798536. The cubic root of 6930246400 is about 1906.5559675136. Note that the first 3 decimals are identical.

Adding to 6930246400 its reverse (46420396), we get a palindrome (6976666796).

The spelling of 6930246400 in words is "six billion, nine hundred thirty million, two hundred forty-six thousand, four hundred".