6842952900 has 432 divisors, whose sum is σ = 25971254400. Its totient is φ = 1562198400.

The previous prime is 6842952899. The next prime is 6842952911. The reversal of 6842952900 is 92592486.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8334490 + ... + 8335310.

Almost surely, 2^6842952900 is an apocalyptic number.

6842952900 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 6842952900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985627200).

6842952900 is an abundant number, since it is smaller than the sum of its proper divisors (19128301500).

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

6842952900 is a wasteful number, since it uses less digits than its factorization.

6842952900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6842952900 is about 82722.1427430407. The cubic root of 6842952900 is about 1898.5171162769.

The spelling of 6842952900 in words is "six billion, eight hundred forty-two million, nine hundred fifty-two thousand, nine hundred".