6036819840 has 512 divisors, whose sum is σ = 22883904000. Its totient is φ = 1518372864.

The previous prime is 6036819823. The next prime is 6036819871. The reversal of 6036819840 is 489186306.

6036819840 is a `hidden beast` number, since 60 + 368 + 198 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26593807 + ... + 26594033.

It is an arithmetic number, because the mean of its divisors is an integer number (44695125).

Almost surely, 2^6036819840 is an apocalyptic number.

6036819840 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 6036819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11441952000).

6036819840 is an abundant number, since it is smaller than the sum of its proper divisors (16847084160).

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

6036819840 is an equidigital number, since it uses as much as digits as its factorization.

6036819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6036819840 is about 77696.9744584691. The cubic root of 6036819840 is about 1820.8300203126.

It can be divided in two parts, 60368 and 19840, that added together give a palindrome (80208).

The spelling of 6036819840 in words is "six billion, thirty-six million, eight hundred nineteen thousand, eight hundred forty".