36012333127680 has 3072 divisors, whose sum is σ = 163768382668800. Its totient is φ = 7395685171200.

The previous prime is 36012333127663. The next prime is 36012333127709. The reversal of 36012333127680 is 8672133321063.

36012333127680 is a `hidden beast` number, since 3 + 601 + 2 + 3 + 3 + 31 + 2 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 83555297065 + ... + 83555297495.

It is an arithmetic number, because the mean of its divisors is an integer number (53310020400).

Almost surely, 2^{36012333127680} is an apocalyptic number.

36012333127680 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 36012333127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81884191334400).

36012333127680 is an abundant number, since it is smaller than the sum of its proper divisors (127756049541120).

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

36012333127680 is an equidigital number, since it uses as much as digits as its factorization.

36012333127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 36012333127680 in words is "thirty-six trillion, twelve billion, three hundred thirty-three million, one hundred twenty-seven thousand, six hundred eighty".