6100800000 has 480 divisors, whose sum is σ = 21481625088. Its totient is φ = 1536000000.

The previous prime is 6100799993. The next prime is 6100800007. The reversal of 6100800000 is 80016.

It is an interprime number because it is at equal distance from previous prime (6100799993) and next prime (6100800007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (6100800007) 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 47 ways as a sum of consecutive naturals, for example, 148799980 + ... + 148800020.

Almost surely, 2^6100800000 is an apocalyptic number.

6100800000 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 6100800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740812544).

6100800000 is an abundant number, since it is smaller than the sum of its proper divisors (15380825088).

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

6100800000 is an frugal number, since it uses more digits than its factorization.

6100800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 6100800000 is about 78107.6180663577. The cubic root of 6100800000 is about 1827.2400092249.

Adding to 6100800000 its reverse (80016), we get a palindrome (6100880016).

The spelling of 6100800000 in words is "six billion, one hundred million, eight hundred thousand".