6985440000 has 1350 divisors, whose sum is σ = 33030367524. Its totient is φ = 1451520000.

The previous prime is 6985439987. The next prime is 6985440031. The reversal of 6985440000 is 445896.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 149 ways as a sum of consecutive naturals, for example, 635039995 + ... + 635040005.

Almost surely, 2^6985440000 is an apocalyptic number.

6985440000 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 6985440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515183762).

6985440000 is an abundant number, since it is smaller than the sum of its proper divisors (26044927524).

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

6985440000 is an equidigital number, since it uses as much as digits as its factorization.

6985440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6985440000 is about 83578.9447169561. The cubic root of 6985440000 is about 1911.6039631876.

Adding to 6985440000 its reverse (445896), we get a palindrome (6985885896).

It can be divided in two parts, 6985 and 440000, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 6985440000 in words is "six billion, nine hundred eighty-five million, four hundred forty thousand".