6982410240 has 672 divisors, whose sum is σ = 27479402496. Its totient is φ = 1627914240.

The previous prime is 6982410203. The next prime is 6982410241. The reversal of 6982410240 is 420142896.

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 = 6982410195 and 6982410204.

It is not an unprimeable number, because it can be changed into a prime (6982410241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148561897 + ... + 148561943.

It is an arithmetic number, because the mean of its divisors is an integer number (40891968).

Almost surely, 2^6982410240 is an apocalyptic number.

6982410240 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 6982410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739701248).

6982410240 is an abundant number, since it is smaller than the sum of its proper divisors (20496992256).

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

6982410240 is a wasteful number, since it uses less digits than its factorization.

6982410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6982410240 is about 83560.8176120842. The cubic root of 6982410240 is about 1911.3275530755.

The spelling of 6982410240 in words is "six billion, nine hundred eighty-two million, four hundred ten thousand, two hundred forty".