6820638552 has 144 divisors (see below), whose sum is σ = 22860667440. Its totient is φ = 1798827264.

The previous prime is 6820638551. The next prime is 6820638577. The reversal of 6820638552 is 2558360286.

6820638552 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 638 + 5 + 5 + 2 = 666.

It is a super-2 number, since 2×6820638552² = 93042220514057313408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6820638498 and 6820638507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820638551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45138 + ... + 125214.

It is an arithmetic number, because the mean of its divisors is an integer number (158754635).

Almost surely, 2^6820638552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6820638552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430333720).

6820638552 is an abundant number, since it is smaller than the sum of its proper divisors (16040028888).

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

6820638552 is a wasteful number, since it uses less digits than its factorization.

6820638552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80122 (or 80102 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6820638552 is about 82587.1573066902. The cubic root of 6820638552 is about 1896.4512291948.

The spelling of 6820638552 in words is "six billion, eight hundred twenty million, six hundred thirty-eight thousand, five hundred fifty-two".