6982605840 has 480 divisors, whose sum is σ = 27205580160. Its totient is φ = 1471561728.

The previous prime is 6982605797. The next prime is 6982605841. The reversal of 6982605840 is 485062896.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6982605840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6982605841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10595431 + ... + 10596089.

It is an arithmetic number, because the mean of its divisors is an integer number (56678292).

Almost surely, 2^6982605840 is an apocalyptic number.

6982605840 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 6982605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13602790080).

6982605840 is an abundant number, since it is smaller than the sum of its proper divisors (20222974320).

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

6982605840 is a wasteful number, since it uses less digits than its factorization.

6982605840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 6982605840 is about 83561.9880089027. The cubic root of 6982605840 is about 1911.3454004074.

The spelling of 6982605840 in words is "six billion, nine hundred eighty-two million, six hundred five thousand, eight hundred forty".