6849906900 has 324 divisors, whose sum is σ = 22038631104. Its totient is φ = 1641574400.

The previous prime is 6849906887. The next prime is 6849906901. The reversal of 6849906900 is 96099486.

It is a super-2 number, since 2×6849906900² = 93842449077335220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6849906901) 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 107 ways as a sum of consecutive naturals, for example, 145742677 + ... + 145742723.

Almost surely, 2^6849906900 is an apocalyptic number.

6849906900 is a gapful number since it is divisible by the number (60) 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 6849906900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019315552).

6849906900 is an abundant number, since it is smaller than the sum of its proper divisors (15188724204).

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

6849906900 is a wasteful number, since it uses less digits than its factorization.

6849906900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 6849906900 is about 82764.1643466543. The cubic root of 6849906900 is about 1899.1600072708.

The spelling of 6849906900 in words is "six billion, eight hundred forty-nine million, nine hundred six thousand, nine hundred".