36885600063360 has 640 divisors, whose sum is σ = 136031983718400. Its totient is φ = 9514829721600.

The previous prime is 36885600063341. The next prime is 36885600063373. The reversal of 36885600063360 is 6336000658863.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 36885600063297 and 36885600063306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6458690905 + ... + 6458696615.

It is an arithmetic number, because the mean of its divisors is an integer number (212549974560).

Almost surely, 2^{36885600063360} is an apocalyptic number.

36885600063360 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 36885600063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68015991859200).

36885600063360 is an abundant number, since it is smaller than the sum of its proper divisors (99146383655040).

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

36885600063360 is a wasteful number, since it uses less digits than its factorization.

36885600063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 36885600063360 in words is "thirty-six trillion, eight hundred eighty-five billion, six hundred million, sixty-three thousand, three hundred sixty".