36536146992720 has 800 divisors, whose sum is σ = 141394251081600. Its totient is φ = 8704612159488.

The previous prime is 36536146992673. The next prime is 36536146992721. The reversal of 36536146992720 is 2729964163563.

36536146992720 is a `hidden beast` number, since 3 + 6 + 5 + 3 + 61 + 469 + 92 + 7 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36536146992721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 153411654 + ... + 153649626.

It is an arithmetic number, because the mean of its divisors is an integer number (176742813852).

Almost surely, 2^{36536146992720} is an apocalyptic number.

36536146992720 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 36536146992720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70697125540800).

36536146992720 is an abundant number, since it is smaller than the sum of its proper divisors (104858104088880).

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

36536146992720 is a wasteful number, since it uses less digits than its factorization.

36536146992720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238089 (or 238074 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 36536146992720 in words is "thirty-six trillion, five hundred thirty-six billion, one hundred forty-six million, nine hundred ninety-two thousand, seven hundred twenty".