36106342272 has 1280 divisors, whose sum is σ = 149288832000. Its totient is φ = 8534937600.

The previous prime is 36106342267. The next prime is 36106342291. The reversal of 36106342272 is 27224360163.

36106342272 is a `hidden beast` number, since 3 + 6 + 10 + 634 + 2 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 508539997 + ... + 508540067.

It is an arithmetic number, because the mean of its divisors is an integer number (116631900).

Almost surely, 2^36106342272 is an apocalyptic number.

36106342272 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 36106342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74644416000).

36106342272 is an abundant number, since it is smaller than the sum of its proper divisors (113182489728).

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

36106342272 is a wasteful number, since it uses less digits than its factorization.

36106342272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 36106342272 in words is "thirty-six billion, one hundred six million, three hundred forty-two thousand, two hundred seventy-two".