6982201776 has 160 divisors (see below), whose sum is σ = 20764385280. Its totient is φ = 1999468800.

The previous prime is 6982201763. The next prime is 6982201799. The reversal of 6982201776 is 6771022896.

It is a super-2 number, since 2×6982201776² = 97502283281555108352, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6329641 + ... + 6330743.

It is an arithmetic number, because the mean of its divisors is an integer number (129777408).

Almost surely, 2^6982201776 is an apocalyptic number.

6982201776 is a gapful number since it is divisible by the number (66) 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 6982201776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382192640).

6982201776 is an abundant number, since it is smaller than the sum of its proper divisors (13782183504).

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

6982201776 is a wasteful number, since it uses less digits than its factorization.

6982201776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 6982201776 is about 83559.5702238828. The cubic root of 6982201776 is about 1911.3085316136.

It can be divided in two parts, 698220 and 1776, that added together give a palindrome (699996).

The spelling of 6982201776 in words is "six billion, nine hundred eighty-two million, two hundred one thousand, seven hundred seventy-six".