6844061952 has 756 divisors, whose sum is σ = 26165685504. Its totient is φ = 1746800640.

The previous prime is 6844061951. The next prime is 6844061971. The reversal of 6844061952 is 2591604486.

6844061952 is a `hidden beast` number, since 68 + 440 + 61 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a junction number, because it is equal to n+sod(n) for n = 6844061898 and 6844061907.

It is not an unprimeable number, because it can be changed into a prime (6844061951) 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 83 ways as a sum of consecutive naturals, for example, 220776177 + ... + 220776207.

Almost surely, 2^6844061952 is an apocalyptic number.

6844061952 is a gapful number since it is divisible by the number (62) 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 6844061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082842752).

6844061952 is an abundant number, since it is smaller than the sum of its proper divisors (19321623552).

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

6844061952 is an equidigital number, since it uses as much as digits as its factorization.

6844061952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6844061952 is about 82728.8459486774. The cubic root of 6844061952 is about 1898.6196763118.

The spelling of 6844061952 in words is "six billion, eight hundred forty-four million, sixty-one thousand, nine hundred fifty-two".