6981606240 has 576 divisors, whose sum is σ = 28544140800. Its totient is φ = 1421328384.

The previous prime is 6981606217. The next prime is 6981606241. The reversal of 6981606240 is 426061896.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6981606192 and 6981606201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6981606241) 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 95 ways as a sum of consecutive naturals, for example, 7596501 + ... + 7597419.

It is an arithmetic number, because the mean of its divisors is an integer number (49555800).

Almost surely, 2^6981606240 is an apocalyptic number.

6981606240 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 6981606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14272070400).

6981606240 is an abundant number, since it is smaller than the sum of its proper divisors (21562534560).

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

6981606240 is a wasteful number, since it uses less digits than its factorization.

6981606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6981606240 is about 83556.0066063476. The cubic root of 6981606240 is about 1911.2541893761.

The spelling of 6981606240 in words is "six billion, nine hundred eighty-one million, six hundred six thousand, two hundred forty".