36489983745600 has 1512 divisors, whose sum is σ = 163114895186880. Its totient is φ = 7573334630400.

The previous prime is 36489983745599. The next prime is 36489983745601. The reversal of 36489983745600 is 654738998463.

36489983745600 is a `hidden beast` number, since 3 + 6 + 4 + 8 + 9 + 9 + 8 + 3 + 7 + 4 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (36489983745599) and next prime (36489983745601).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (36489983745601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16746205311 + ... + 16746207489.

Almost surely, 2^{36489983745600} is an apocalyptic number.

36489983745600 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 36489983745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81557447593440).

36489983745600 is an abundant number, since it is smaller than the sum of its proper divisors (126624911441280).

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

36489983745600 is a wasteful number, since it uses less digits than its factorization.

36489983745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 36489983745600 in words is "thirty-six trillion, four hundred eighty-nine billion, nine hundred eighty-three million, seven hundred forty-five thousand, six hundred".