6036904873800 has 1440 divisors, whose sum is σ = 23056197880320. Its totient is φ = 1462783795200.

The previous prime is 6036904873787. The next prime is 6036904873837. The reversal of 6036904873800 is 83784096306.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 31606831705 + ... + 31606831895.

It is an arithmetic number, because the mean of its divisors is an integer number (16011248528).

Almost surely, 2^{6036904873800} is an apocalyptic number.

6036904873800 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 6036904873800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11528098940160).

6036904873800 is an abundant number, since it is smaller than the sum of its proper divisors (17019293006520).

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

6036904873800 is a wasteful number, since it uses less digits than its factorization.

6036904873800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6036904873800 in words is "six trillion, thirty-six billion, nine hundred four million, eight hundred seventy-three thousand, eight hundred".