6980042160 has 1200 divisors, whose sum is σ = 32327618400. Its totient is φ = 1379524608.

The previous prime is 6980042149. The next prime is 6980042191. The reversal of 6980042160 is 612400896.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78427396 + ... + 78427484.

It is an arithmetic number, because the mean of its divisors is an integer number (26939682).

Almost surely, 2^6980042160 is an apocalyptic number.

6980042160 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 6980042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163809200).

6980042160 is an abundant number, since it is smaller than the sum of its proper divisors (25347576240).

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

6980042160 is a wasteful number, since it uses less digits than its factorization.

6980042160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6980042160 is about 83546.6466113392. The cubic root of 6980042160 is about 1911.1114534683. Note that the first 3 decimals are identical.

The spelling of 6980042160 in words is "six billion, nine hundred eighty million, forty-two thousand, one hundred sixty".