6849879696 has 375 divisors, whose sum is σ = 23016154755. Its totient is φ = 1966472640.

The previous prime is 6849879637. The next prime is 6849879713. The reversal of 6849879696 is 6969789486.

The square root of 6849879696 is 82764.

It is a perfect power (a square), and thus also a powerful number.

6849879696 is a `hidden beast` number, since 6 + 8 + 498 + 79 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 360519975 + ... + 360519993.

Almost surely, 2^6849879696 is an apocalyptic number.

6849879696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6849879696 is the 82764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6849879696

6849879696 is an abundant number, since it is smaller than the sum of its proper divisors (16166275059).

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

6849879696 is an equidigital number, since it uses as much as digits as its factorization.

6849879696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 35 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The cubic root of 6849879696 is about 1899.1574931336.

The spelling of 6849879696 in words is "six billion, eight hundred forty-nine million, eight hundred seventy-nine thousand, six hundred ninety-six".