36228300472800 has 1440 divisors, whose sum is σ = 141728702844960. Its totient is φ = 8973877248000.

The previous prime is 36228300472739. The next prime is 36228300472813. The reversal of 36228300472800 is 827400382263.

36228300472800 is a `hidden beast` number, since 3 + 6 + 2 + 28 + 300 + 47 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 30165112200 + ... + 30165113400.

It is an arithmetic number, because the mean of its divisors is an integer number (98422710309).

Almost surely, 2^{36228300472800} is an apocalyptic number.

36228300472800 is a gapful number since it is divisible by the number (30) 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 36228300472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70864351422480).

36228300472800 is an abundant number, since it is smaller than the sum of its proper divisors (105500402372160).

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

36228300472800 is a wasteful number, since it uses less digits than its factorization.

36228300472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 36228300472800 in words is "thirty-six trillion, two hundred twenty-eight billion, three hundred million, four hundred seventy-two thousand, eight hundred".