36720069041376 has 576 divisors, whose sum is σ = 130624561267200. Its totient is φ = 9912515844096.

The previous prime is 36720069041351. The next prime is 36720069041377. The reversal of 36720069041376 is 67314096002763.

It is a happy number.

36720069041376 is a `hidden beast` number, since 3 + 6 + 7 + 200 + 69 + 0 + 4 + 1 + 376 = 666.

36720069041376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36720069041377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385711990 + ... + 385807178.

It is an arithmetic number, because the mean of its divisors is an integer number (226778752200).

Almost surely, 2^{36720069041376} is an apocalyptic number.

36720069041376 is a gapful number since it is divisible by the number (36) 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 36720069041376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65312280633600).

36720069041376 is an abundant number, since it is smaller than the sum of its proper divisors (93904492225824).

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

36720069041376 is a wasteful number, since it uses less digits than its factorization.

36720069041376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95613 (or 95593 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 36720069041376 in words is "thirty-six trillion, seven hundred twenty billion, sixty-nine million, forty-one thousand, three hundred seventy-six".