6301680000 has 960 divisors, whose sum is σ = 27123317760. Its totient is φ = 1267200000.

The previous prime is 6301679921. The next prime is 6301680013. The reversal of 6301680000 is 861036.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×6301680000² = 79422341644800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 203279985 + ... + 203280015.

It is an arithmetic number, because the mean of its divisors is an integer number (28253456).

Almost surely, 2^6301680000 is an apocalyptic number.

6301680000 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 6301680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561658880).

6301680000 is an abundant number, since it is smaller than the sum of its proper divisors (20821637760).

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

6301680000 is a wasteful number, since it uses less digits than its factorization.

6301680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6301680000 is about 79383.1216317423. The cubic root of 6301680000 is about 1847.0789060571.

The spelling of 6301680000 in words is "six billion, three hundred one million, six hundred eighty thousand".