36332621152020 has 240 divisors, whose sum is σ = 115924702093200. Its totient is φ = 9524454875136.

The previous prime is 36332621152001. The next prime is 36332621152027. The reversal of 36332621152020 is 2025112623363.

36332621152020 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 2 + 621 + 1 + 5 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1931088212496 + 34401532939524 = 1389636^2 + 5865282^2 .

It is a super-2 number, since 2×36332621152020² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36332621152027) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22637982 + ... + 24189738.

It is an arithmetic number, because the mean of its divisors is an integer number (483019592055).

Almost surely, 2^{36332621152020} is an apocalyptic number.

36332621152020 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 36332621152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57962351046600).

36332621152020 is an abundant number, since it is smaller than the sum of its proper divisors (79592080941180).

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

36332621152020 is a wasteful number, since it uses less digits than its factorization.

36332621152020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552024 (or 1552013 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 36332621152020 its reverse (2025112623363), we get a palindrome (38357733775383).

The spelling of 36332621152020 in words is "thirty-six trillion, three hundred thirty-two billion, six hundred twenty-one million, one hundred fifty-two thousand, twenty".