36206721847296 has 4160 divisors, whose sum is σ = 157960194771456. Its totient is φ = 8016132833280.

The previous prime is 36206721847259. The next prime is 36206721847297. The reversal of 36206721847296 is 69274812760263.

36206721847296 is a `hidden beast` number, since 3 + 6 + 2 + 0 + 6 + 72 + 1 + 8 + 472 + 96 = 666.

It is a super-2 number, since 2×36206721847296² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36206721847297) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 683145695206 + ... + 683145695258.

Almost surely, 2^{36206721847296} is an apocalyptic number.

36206721847296 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 36206721847296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78980097385728).

36206721847296 is an abundant number, since it is smaller than the sum of its proper divisors (121753472924160).

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

36206721847296 is a wasteful number, since it uses less digits than its factorization.

36206721847296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 36206721847296 in words is "thirty-six trillion, two hundred six billion, seven hundred twenty-one million, eight hundred forty-seven thousand, two hundred ninety-six".