6019930800 has 480 divisors, whose sum is σ = 23539118400. Its totient is φ = 1452072960.

The previous prime is 6019930799. The next prime is 6019930801. The reversal of 6019930800 is 80399106.

It is an interprime number because it is at equal distance from previous prime (6019930799) and next prime (6019930801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6019930801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7440796 + ... + 7441604.

It is an arithmetic number, because the mean of its divisors is an integer number (49039830).

Almost surely, 2^6019930800 is an apocalyptic number.

6019930800 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 6019930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11769559200).

6019930800 is an abundant number, since it is smaller than the sum of its proper divisors (17519187600).

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

6019930800 is a wasteful number, since it uses less digits than its factorization.

6019930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 6019930800 is about 77588.2130223399. The cubic root of 6019930800 is about 1819.1304061346.

The spelling of 6019930800 in words is "six billion, nineteen million, nine hundred thirty thousand, eight hundred".