6984956160 has 576 divisors, whose sum is σ = 30520680960. Its totient is φ = 1473085440.

The previous prime is 6984956131. The next prime is 6984956161. The reversal of 6984956160 is 616594896.

It is a happy number.

6984956160 is a `hidden beast` number, since 6 + 98 + 495 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6984956160² = 97579225114243891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6984956097 and 6984956106.

It is not an unprimeable number, because it can be changed into a prime (6984956161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3143850 + ... + 3146070.

Almost surely, 2^6984956160 is an apocalyptic number.

6984956160 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 6984956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260340480).

6984956160 is an abundant number, since it is smaller than the sum of its proper divisors (23535724800).

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

6984956160 is a wasteful number, since it uses less digits than its factorization.

6984956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6984956160 is about 83576.0501579250. The cubic root of 6984956160 is about 1911.5598270122.

The spelling of 6984956160 in words is "six billion, nine hundred eighty-four million, nine hundred fifty-six thousand, one hundred sixty".