36063751671072 has 288 divisors, whose sum is σ = 107218801557504. Its totient is φ = 11923971897600.

The previous prime is 36063751671067. The next prime is 36063751671113. The reversal of 36063751671072 is 27017615736063.

36063751671072 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 375 + 167 + 107 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478318497 + ... + 478393887.

It is an arithmetic number, because the mean of its divisors is an integer number (372287505408).

Almost surely, 2^{36063751671072} is an apocalyptic number.

36063751671072 is a gapful number since it is divisible by the number (32) 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 36063751671072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53609400778752).

36063751671072 is an abundant number, since it is smaller than the sum of its proper divisors (71155049886432).

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

36063751671072 is a wasteful number, since it uses less digits than its factorization.

36063751671072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75914 (or 75894 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 36063751671072 in words is "thirty-six trillion, sixty-three billion, seven hundred fifty-one million, six hundred seventy-one thousand, seventy-two".