6984895680 has 560 divisors, whose sum is σ = 28705064256. Its totient is φ = 1579253760.

The previous prime is 6984895661. The next prime is 6984895699. The reversal of 6984895680 is 865984896.

6984895680 is a `hidden beast` number, since 6 + 98 + 489 + 5 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6984895661) and next prime (6984895699).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24857140 + ... + 24857420.

Almost surely, 2^6984895680 is an apocalyptic number.

6984895680 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 6984895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352532128).

6984895680 is an abundant number, since it is smaller than the sum of its proper divisors (21720168576).

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

6984895680 is a wasteful number, since it uses less digits than its factorization.

6984895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The square root of 6984895680 is about 83575.6883309973. The cubic root of 6984895680 is about 1911.5543098469.

The spelling of 6984895680 in words is "six billion, nine hundred eighty-four million, eight hundred ninety-five thousand, six hundred eighty".