36828016243200 has 4320 divisors, whose sum is σ = 173370921884160. Its totient is φ = 7546178764800.

The previous prime is 36828016243189. The next prime is 36828016243267. The reversal of 36828016243200 is 234261082863.

36828016243200 is a `hidden beast` number, since 3 + 6 + 8 + 280 + 162 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 466177420761 + ... + 466177420839.

Almost surely, 2^{36828016243200} is an apocalyptic number.

36828016243200 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 36828016243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86685460942080).

36828016243200 is an abundant number, since it is smaller than the sum of its proper divisors (136542905640960).

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

36828016243200 is an frugal number, since it uses more digits than its factorization.

36828016243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 36828016243200 in words is "thirty-six trillion, eight hundred twenty-eight billion, sixteen million, two hundred forty-three thousand, two hundred".