36273729344832 has 560 divisors, whose sum is σ = 131127599405440. Its totient is φ = 9683940261888.

The previous prime is 36273729344821. The next prime is 36273729344869. The reversal of 36273729344832 is 23844392737263.

36273729344832 is a `hidden beast` number, since 3 + 6 + 2 + 7 + 3 + 72 + 93 + 448 + 32 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36273729344832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49971108 + ... + 50691804.

Almost surely, 2^{36273729344832} is an apocalyptic number.

36273729344832 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 36273729344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65563799702720).

36273729344832 is an abundant number, since it is smaller than the sum of its proper divisors (94853870060608).

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

36273729344832 is a wasteful number, since it uses less digits than its factorization.

36273729344832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720820 (or 720801 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 63.

The spelling of 36273729344832 in words is "thirty-six trillion, two hundred seventy-three billion, seven hundred twenty-nine million, three hundred forty-four thousand, eight hundred thirty-two".