36330124800 has 240 divisors, whose sum is σ = 120461196240. Its totient is φ = 9651978240.

The previous prime is 36330124781. The next prime is 36330124811. The reversal of 36330124800 is 842103363.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11249586 + ... + 11252814.

It is an arithmetic number, because the mean of its divisors is an integer number (501921651).

Almost surely, 2^36330124800 is an apocalyptic number.

36330124800 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 36330124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60230598120).

36330124800 is an abundant number, since it is smaller than the sum of its proper divisors (84131071440).

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

36330124800 is a wasteful number, since it uses less digits than its factorization.

36330124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 36330124800 in words is "thirty-six billion, three hundred thirty million, one hundred twenty-four thousand, eight hundred".