6980106240 has 576 divisors, whose sum is σ = 26217172800. Its totient is φ = 1712848896.

The previous prime is 6980106239. The next prime is 6980106257. The reversal of 6980106240 is 426010896.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6980106195 and 6980106204.

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 47 ways as a sum of consecutive naturals, for example, 78428116 + ... + 78428204.

It is an arithmetic number, because the mean of its divisors is an integer number (45515925).

Almost surely, 2^6980106240 is an apocalyptic number.

6980106240 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 6980106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108586400).

6980106240 is an abundant number, since it is smaller than the sum of its proper divisors (19237066560).

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

6980106240 is a wasteful number, since it uses less digits than its factorization.

6980106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

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

The square root of 6980106240 is about 83547.0301087956. The cubic root of 6980106240 is about 1911.1173017447.

The spelling of 6980106240 in words is "six billion, nine hundred eighty million, one hundred six thousand, two hundred forty".