6830153820 has 192 divisors, whose sum is σ = 25563417600. Its totient is φ = 1478995200.

The previous prime is 6830153753. The next prime is 6830153867. The reversal of 6830153820 is 283510386.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24270 + ... + 119370.

It is an arithmetic number, because the mean of its divisors is an integer number (133142800).

Almost surely, 2^6830153820 is an apocalyptic number.

6830153820 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 6830153820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781708800).

6830153820 is an abundant number, since it is smaller than the sum of its proper divisors (18733263780).

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

6830153820 is a wasteful number, since it uses less digits than its factorization.

6830153820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95145 (or 95137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6830153820 is about 82644.7446605046. The cubic root of 6830153820 is about 1897.3327134623.

The spelling of 6830153820 in words is "six billion, eight hundred thirty million, one hundred fifty-three thousand, eight hundred twenty".