6985404720 has 720 divisors, whose sum is σ = 30465059040. Its totient is φ = 1421328384.

The previous prime is 6985404719. The next prime is 6985404743. The reversal of 6985404720 is 274045896.

It is a happy number.

6985404720 is a `hidden beast` number, since 69 + 8 + 540 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 11395134 + ... + 11395746.

It is an arithmetic number, because the mean of its divisors is an integer number (42312582).

Almost surely, 2^6985404720 is an apocalyptic number.

6985404720 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 6985404720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15232529520).

6985404720 is an abundant number, since it is smaller than the sum of its proper divisors (23479654320).

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

6985404720 is a wasteful number, since it uses less digits than its factorization.

6985404720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6985404720 is about 83578.7336587484. The cubic root of 6985404720 is about 1911.6007449937.

The spelling of 6985404720 in words is "six billion, nine hundred eighty-five million, four hundred four thousand, seven hundred twenty".