6849190656 has 576 divisors, whose sum is σ = 26772802560. Its totient is φ = 1672151040.

The previous prime is 6849190633. The next prime is 6849190679. The reversal of 6849190656 is 6560919486.

It is a happy number.

6849190656 is a `hidden beast` number, since 6 + 8 + 491 + 90 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6849190633) and next prime (6849190679).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6849190656² = 93822825284475420672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9047430 + ... + 9048186.

It is an arithmetic number, because the mean of its divisors is an integer number (46480560).

Almost surely, 2^6849190656 is an apocalyptic number.

6849190656 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 6849190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386401280).

6849190656 is an abundant number, since it is smaller than the sum of its proper divisors (19923611904).

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

6849190656 is a wasteful number, since it uses less digits than its factorization.

6849190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6849190656 is about 82759.8372158863. The cubic root of 6849190656 is about 1899.0938112677.

The spelling of 6849190656 in words is "six billion, eight hundred forty-nine million, one hundred ninety thousand, six hundred fifty-six".