6036564000 has 384 divisors, whose sum is σ = 21194514432. Its totient is φ = 1496678400.

The previous prime is 6036563999. The next prime is 6036564031. The reversal of 6036564000 is 4656306.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 25907884 + ... + 25908116.

It is an arithmetic number, because the mean of its divisors is an integer number (55194048).

Almost surely, 2^6036564000 is an apocalyptic number.

6036564000 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 6036564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597257216).

6036564000 is an abundant number, since it is smaller than the sum of its proper divisors (15157950432).

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

6036564000 is a wasteful number, since it uses less digits than its factorization.

6036564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 6036564000 is about 77695.3280448702. The cubic root of 6036564000 is about 1820.8042977331.

The spelling of 6036564000 in words is "six billion, thirty-six million, five hundred sixty-four thousand".