36013427481600 has 396 divisors, whose sum is σ = 129129631614360. Its totient is φ = 9589837824000.

The previous prime is 36013427481539. The next prime is 36013427481607. The reversal of 36013427481600 is 618472431063.

36013427481600 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 34 + 2 + 7 + 4 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36013427481607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161398911 + ... + 161621889.

Almost surely, 2^{36013427481600} is an apocalyptic number.

36013427481600 is a gapful number since it is divisible by the number (30) 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 36013427481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64564815807180).

36013427481600 is an abundant number, since it is smaller than the sum of its proper divisors (93116204132760).

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

36013427481600 is a wasteful number, since it uses less digits than its factorization.

36013427481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223716 (or 223690 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 36013427481600 in words is "thirty-six trillion, thirteen billion, four hundred twenty-seven million, four hundred eighty-one thousand, six hundred".